215 items are filed under this topic.
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What are the next three terms? |
2019-06-18 |
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From Shriya: -6, -2 , 2, 6,10 what are the next three terms? Answered by Penny Nom. |
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Why Mean? |
2019-05-08 |
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From Jill: A group of teachers were trying to figure out why the”mean” is called mean - do you know?? Answered by Penny Nom. |
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The price of a watermelon |
2018-07-07 |
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From errin: the price of the watermelon is directly proportional to its weight. If a watermelon that weighs 22 pounds cost $5.40, how much will a 17.5 pound watermelon cost? Answered by Penny Nom. |
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The number of terms in an arithmetic sequence |
2018-06-15 |
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From Don: how many terms in arithmetic sequence are there if the first term and the last term are 3&59 respectively in common difference is 4? Answered by Harley Weston. |
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Positive and negative values of a function |
2018-01-30 |
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From Grayson: f(x)=x^6-x^4
Interval: ( negative infinity, negative one )
Test Value: negative two
Function Value f(x): positive forty eight
Interval: ( negative one, zero )
Test Value: negative one
Function Value f(x): zero
Interval: ( zero, positive one )
Test Value: positive one
Function Value f(x): zero
Interval: ( positive one, positive infinity )
Test Value: positive two
Function Value f(x): positive forty eight
What is the sign of f(x) for each Interval? Answered by Penny Nom. |
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y as an expression in terms of x |
2018-01-20 |
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From Mark: What is y as an expression in terms of x ? Answered by pennt. |
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An alphabetic sequence |
2017-09-17 |
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From malik: find the letter of the following series....?
ZOTTFFSSE- Answered by Penny Nom. |
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Successive Differences |
2017-04-06 |
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From Twaha: Please find the equation of the sequence 1 2 4 7 11 16 22 Answered by Penny Nom. |
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Two sequences |
2016-08-20 |
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From Ting: The first four terms of a sequence are 4, 20, 56 and 120. By comparing with the nth term of sequence 1,5,14 and 30 which is 1/6n(n+1)(2n+1), find a formula for nth term. Can you precisely show out how you do this questions ( with the steps please) Answered by Penny Nom. |
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Which term of this sequence has value 8? |
2016-07-20 |
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From Lauren: Hi there
Which term in the sequence -2; -5/3; -4/3 ; -1; ... has a value of 8.
Since term 2 and 3 of this sequence contain fractions which can be converted to recurring decimals. What is the best way to work out the common difference here.
I do however understand that to work out the nth term of an arithmetic series, the following formula Tn = a + (n-1)d. In this series a = -2 Answered by Penny Nom. |
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Triakis |
2016-06-27 |
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From Gordon: Some authorities treat "triakis" (and related terms "dyakis", "tetrakis", etc.) as attached prefixes; others treat them as separate adjectives. Thus I see one of the Catalan solids described as both "triakistetrahedron" and "triakis tetrahedron". Which usage is correct? Answered by Chris Fisher. |
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Sin squared (x) + Sin (x) - 2 |
2016-06-25 |
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From Sree: Reduce the below to a single term
Sin squared (x) + Sin (x) - 2
Thanks Answered by Penny Nom. |
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The evaluation of a 3 by 3 determinant |
2016-02-19 |
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From Kristen: What is the step-by-step process on how to evaluate the determinant of a 3*3 matrix, using the expansion method (not the diagonal method) Answered by Penny Nom. |
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Which term of the series 2+7+12+...is 152? |
2016-02-01 |
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From francis: whice term of the series 2+7+12+...is 152? Answered by Penny Nom. |
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A sequence |
2016-01-05 |
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From Mia: the next three terms in each sequence. 0.4, 0.54, 0.68, 0.82, Answered by Penny Nom. |
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The sequence 1,2,4,7,11,16... |
2015-10-15 |
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From HEMANT: what is the next term in the sequence : 1,2,4,7,11,16,? Answered by Penny Nom. |
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The nth term |
2015-07-04 |
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From ujjal: What is the nth term in the order 6,8,10.... Answered by Penny Nom. |
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1,4,9,61,52,___ |
2015-01-21 |
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From Mubashir: 1,4,9,61,,52,___,84,___,18,1,121,___
please tell me its formula and also that rule that is being applied here like adding 3 or subtracting 5 etc. Answered by Walter Whiteley. |
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A sequence |
2015-01-13 |
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From cyaz: write a rule for each sequence then find next 3 terms for 7/8, 3 1/8, 5 3/8 Answered by Penny Nom. |
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The degree of a polynomial |
2015-01-05 |
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From Nichole: How do I determine the degree of polynomials? I've searched this on sites but they are
all so confusing! Is there a simple explanation or way to find what the degree is? Some
examples are: 6x^4 10x^2yz^5 and 3m^2n^7-10m^8. I also have to say that I am
under the impression that this symbol ^ means the number after it is an exponent. Answered by Robert Dawson and Harley Weston. |
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Find the nth term |
2014-10-26 |
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From Kenneth: According to the pattern of the following sequence. Find it's nth term:
3,9,27,81,243,.......... Answered by Penny Nom. |
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Why express fractions in lowest terms? |
2014-10-09 |
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From John: I teach in a Faculty of Education. A colleague in the university asked me about fractions and lowest terms. I am quoting the person below, and would appreciate your insights into the question/thought.
"One I'm struggling with is why (for example) 6/18 is not considered as good an answer to a fraction question as 1/3. The traditional response is that 6/18 is not in lowest terms so the question has not been finished until the fraction is reduced, but what actually makes the lowest terms answer the better one? Is it convention? Is there a way to explain why simplest form answers in fractions are right and and anything else is considered incorrect without alluding to some need for this 'good habit' elsewhere in math or science? Is there a real-life reason?"
Thank you for any insights and if you have nothing to offer to this query, that is fine too. I appreciate your consideration.
John Answered by Robert Dawson. |
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9,-4,6,-8,3,... |
2014-03-31 |
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From Alynna: You are given the following pattern: 9,-4,6,-8,3,...
Create a formula for the nth figure.
I have trouble finding the formula, I need help trying to find it. Answered by Penny Nom. |
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A sequence |
2014-02-10 |
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From Joshua: hello..the question I have today is... A sequence... 1,5,14,30,55,91 find the general terms. Answered by Penny Nom. |
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A sequence |
2014-01-30 |
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From joshua: hi...really struggle with one question that the teacher gave us...
The sequence is 1,2,1,5,8,1,11,___,___ Answered by Penny Nom. |
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Find the next 3 terms of the sequence |
2013-12-19 |
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From Lanelyn: Find the next 3 terms of the sequence 2,3,9,23,48,87,__,__,__ Answered by Robert Dawson. |
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Coefficients |
2013-11-27 |
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From kim: in the expression below, what number is the coefficient of y? y2+3y+4 Answered by Penny Nom. |
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4 linear equations with 3 unknowns |
2013-04-12 |
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From Marian: how to solve for 3 unknowns in 4 simultaneous equations Answered by Penny Nom. |
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Write a rule for the sequence |
2013-02-20 |
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From Angelia: Write a rule for the sequence. Then, find the unknown term. 1 3/8, 1 ¾, 2 1/8, _______, 2 7/8 Think: The pattern is increasing. Add 1/6 to find the next term. Rule: _______________ Answered by Penny Nom. |
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The nth term of a sequence |
2012-10-19 |
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From Emily: I don't understand how to do this question:
Nth term for 9, 7, 5, 3, 1
Is there a fast way to do nth term for this question? Or in fact any question? Answered by Penny Nom. |
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The nth term |
2012-05-05 |
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From Justin: Which expression can be used tofind the nth term in this sequence?
94,75,56,37,18,.....
My choices are
A. -19n=113 B. -21n+115
C. -19+75 D. 21n+73
Please explain how to get the correct answer. I think it is A. but I am not sure, Answered by Penny Nom. |
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How long will it take lee to catch up with jodie? |
2012-03-21 |
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From kirsten: for example, if jodie is on the bus travelling at 10 m.p.h and lee is walking at 4 m.p.h how long will it take lee to catch up with jodie?? what is this mathematical name for this Answered by Harley Weston. |
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Three consecutive terms of an arithmetic sequence |
2011-10-30 |
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From Juliette: Find X when x, 1/2x + 7, 3x -1 are consecutive terms of an arithmetic sequence. Answered by Penny Nom. |
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A sequence |
2011-08-14 |
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From intesar: how do i figure this out 0,1/6,2/9,3/12 Answered by Penny Nom. |
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The third term of a sequence |
2011-08-13 |
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From sammantha: Find the 3rd term of the sequence, an=1.5(4)n - 1. Answered by Penny Nom. |
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A ratio as a fraction in lowest terms |
2011-08-12 |
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From jonecia: write this ratio as a fraction in lowest terms 707days of 112days? Answered by Melanie Tyrer. |
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The nth term of a sequence |
2011-07-01 |
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From Rachel: I am trying to help my son get ready for our Aims test and I am not much help. The sequence is 2,5,10,17 The question is which equation represents the rule for finding the nth term for this sequence
a. an=n + 1
b. an=2n2
c. an=n2+1
d. an=2n+1 Answered by Penny Nom. |
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The nth term |
2011-04-30 |
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From Samantha: predict the general term, or the nth term, An for the sequence.
1/2,2/3,3/4,4/5,5/6 Answered by Penny Nom. |
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The sequence 2,3,5,5,8,7,11 |
2011-01-19 |
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From taylor: number relationship in number sequence 2,3,5,5,8,7,11 Answered by Chris Fisher and Penny Nom. |
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What is next in the sequence? |
2011-01-13 |
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From jodi: what is next in the sequence 1, 1/4, 1/9, 1/16, 1/25 Answered by Penny Nom. |
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Identify each polynomial by its degree and number of terms |
2011-01-10 |
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From betty: Write in standard form and identify each polynomial by its degree and number of terms. How do you do this? Answered by Penny Nom. |
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The nth term |
2010-11-22 |
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From Daphne:
Question from Daphne, a student:
Hi,
My name is Daphne and I am having trouble with a math problem. I am given this pattern below and asked to find an expression for the number of Bs in the nth term of the pattern. Someone please help!!!
ABBA
AABBBAA
AAABBBBAAA
AAAABBBBBAAAA
The next part asks me to find the ratio of Bs to total letters in the nth term.
Finally it says to use my expression to determine which term has exactly 35% Bs. Answered by Penny Nom. |
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Terminal zeros |
2010-11-04 |
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From morgan: if I have to multiply 1*2*3*4*5*6*7*8*9*10*11*12*13*14*15*16*17*18*19*20 how many terminal zeros do i get? Answered by Penny Nom. |
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rat sequence |
2010-09-24 |
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From Vishal: this is known as rat sequence. I want to know the logic pf this :-
1,2,4,8,16,77,145 Answered by Chris Fisher. |
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The nth term |
2010-09-14 |
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From Anna: The problem is 2n-2. find the nth term. I'm lost as how to even begin Answered by Penny Nom. |
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The nth term |
2010-05-09 |
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From Jessica: what is the nth term of 3, 9, 19, 33, 51
please help Answered by Walter Whiteley. |
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How many terms are in the simplified expression? |
2010-04-29 |
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From Anu: The expression (x+y+z)^2006 + (x-y-z)^2006 is simplified by expanding it and combining like terms.
How many terms are in the simplified expression?
I've spent hours on this. pls help!!!
Also, is answering these questions a paid job for you or is it volunteer work?
I'd like to join an ask and answer site for math, (when I grow up)
How does one go about doing that? Answered by Robert Dawson. |
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A sequence |
2010-04-13 |
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From Essence: hello,
I am having trouble doing my math homework. It asks me to write the first five terms of each sequence .I can not figure it out because it is a fraction.
The Problem Is:
{2n+1/2n} Answered by Penny Nom. |
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Constants and coefficients |
2010-03-12 |
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From lourdes: identify the coefficients, constant term(s), and like terms of the expression.
8x + 9 - 3x
17 - 2a + 5a - 1
7m - 7 + 6m - 6
-10 -15r -22r + 8 Answered by Penny Nom. |
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A geometric sequence |
2010-02-22 |
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From Kelsey: _, 2, _, _, 250, _
i don't know how to fill in the missing terms Answered by Penny Nom. |
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The first five terms of a sequence |
2010-02-14 |
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From Joanne: Find the first five terms of the sequences with the nth term given as follows.
n^2+3n Answered by Penny Nom. |
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A sequence |
2010-02-07 |
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From Shalev: hi,
i had a job interview yesterday. it had mathematical questions. couldn't solve 1. i m obsessed with it. please find out what the answer is..
it goes like this:
2,4,5,5,8,6,_,_,14,8
thank u very much Answered by Claude Tardif. |
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A sequence |
2010-01-27 |
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From Haku: if there are 8 dots in the first shape, 13 in the second, 19 in the third, and 26 in the fourth, then what is the formula? Answered by Penny Nom. |
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A sequence |
2010-01-22 |
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From brahmaji: 0 7 26 63 _ 215 342 fill the blank? find the missing number Answered by Robert Dawson. |
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The adjacency matrix of an undirected graph |
2010-01-15 |
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From Bhavya: Let Cn be the undirected graph with vertex set V = {1,2,3,...,n} and edge set E = {(1,2), (2,3), (3,4),.... , (n-1,n), (n,1)}. Let An be the adjacency matrix of Cn.
a. Find the determinant of An.
b. Find (An)^2 Answered by Robert Dawson. |
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7 36 14 18 28 9 56 x y |
2009-12-06 |
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From lisa: what is the sequence of x and y
7 36 14 18 28 9 56 x y Answered by Penny Nom. |
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What number comes next? |
2009-11-25 |
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From Mark: Can someone help and give me the break down of how to solve. 5,3,1,-1 Answered by Penny Nom. |
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What's the next term? |
2009-11-03 |
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From bharat: if
1=5
2=25
3=325
4=4325
5=? Answered by Robert Dawson and Penny Nom. |
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A sequence |
2009-10-20 |
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From Alyce: The rule of this sequence is k=1/8n. Find the 8th term of the sequence.
1/8, 1/4, 3/8, 1/2, ...
Thanks! Answered by Penny Nom. |
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The next three terms |
2009-10-16 |
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From Shawn: I'm a parent and don't know how to help my 6th grader solve for this problem.
Name the next tree terms in this sequence and tell the rule used to find each:
-1,0,1,0,1,2,3,8,25,..... Answered by Chris Fisher. |
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What is the next term? |
2009-10-04 |
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From julia: patterns
18 46 94 63 52 61 what is the next one? Answered by Penny Nom. |
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How many terms are there in this sequence? |
2009-09-28 |
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From tabby: How many terms are there in this sequence?
5,1,-3,...,-111 Answered by Penny Nom. |
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A sequence |
2009-09-19 |
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From Oliver: I am struggling to work out the missing terms in the following sequence:
1, 3, _, 7, 11, 18, _ Answered by Chris Fisher. |
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A sequence |
2009-09-15 |
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From Derek: what are the next four numbers in this sequence 1/8, 1/4, 3/8, 1/2... Answered by Penny Nom. |
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The nth term of a sequence |
2009-09-11 |
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From Michael: My son has this question as part of his key stage 3 maths homework-
The nth term of a different sequence is n - 2/n^2.
We've got to find the first three terms of the sequence. Answered by Claude Tardif. |
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Divide and reduce to lowest terms. |
2009-09-06 |
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From Karen: Divide and reduce to lowest terms.
Use the cancellation technique as needed
4 2/3 divided by 12
14/3 divided by 12/1 not sure wheer to go from here with the cancellation technique Answered by Penny Nom. |
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A sequence |
2009-07-11 |
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From jamie: what is the next number in the sequence and what is the relationship of the numbers? 36,16,20,10,12, _ Answered by Penny Nom. |
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A sequence |
2009-05-26 |
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From Jay: what is the equation that would give me the next 3 numbers in this progession: 0,1,5,14,20 Answered by Stephen La Rocque. |
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A sequence |
2009-05-18 |
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From Richard: This is my question about sequences.
Write down the nth term of the following sequences.
1/2, -3/4, 9/8, -27/16
Plz help me solve the question! Answered by Penny Nom. |
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A fraction in its simplest form |
2009-04-02 |
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From Michael: I'm in 4th grade and need to express decimals as a fraction in its simplest
form. Is there a step by step method to figure out?
ex 0.64 = 64/100 = ? Answered by Robert Dawson. |
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Leading terms and leading coefficients |
2009-03-31 |
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From Susan: Write the polynomial P(x)=x^3-3x^4+17x+11-4/3x^2 in descending order. Identify the leading term and the leading coefficient. Answered by Penny Nom. |
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A sequence |
2009-03-13 |
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From Shelly: Which sequence satisfies the rule n/4? Answered by Stephen La Rocque. |
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A sequence |
2009-03-11 |
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From Vly: 2; 6; 26;126;626 find the nth term Answered by Harley Weston. |
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1 3 6 10 15.... |
2009-02-26 |
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From Allie: 1 3 6 10 15....
i know the pattern is +2 +3 +4 +5 and so on...but i dont know how to write an equation to find the nth term. help! Answered by Robert Dawson and Claude Tardif. |
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Find an expression for the nth term |
2009-02-20 |
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From Dawn: Find an expression for the nth term:
x= 1 2 3 4...n
y=11 8 5 2...?
I think it's a linear relation but don't know the equation that goes with it. Answered by Stephen La Rocque. |
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0/0 |
2009-02-15 |
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From Justin: Hello, I was just wondering, what is the difference between 0/0 being represented as nullity or as an indeterminate form?
Justin Answered by Harley Weston. |
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The sequence 5, 12, 19, 26, ... |
2009-02-04 |
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From Vickie: Hello,
Here's the question. Ryan wanted to play basketball on a team, He started practicing shooting everyday to improve his skills. The first day he make 5 shots, the second day he made 12 shots, the third day he made 19 shots, and the fourth day he makde 26 shots. If the first day was March 1 and the pattern continues, how many shots will Ryan make on the last day of April and the last day of July? My daughter's answers were 425 for April and 1069 for July. Are these correct and what would be the formula for this question? ? +N=? I don't know please help.
Thank you,
Vickie Answered by Robert Dawson and Penny Nom. |
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Constants, and coeficiants |
2009-01-10 |
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From Kelsey: I am having trouble trying to remember what like terms, constants, and coeficiants are. My math teacher
hasent been explaining it very well and i was wondering how to remember what they are, and what they are? I dont understand the concepts. Answered by Stephen La Rocque. |
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The middle term of an arithmetic sequence |
2008-12-15 |
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From Leigh: Find the sum of the first fifteen terms of an arithmetic series if the middle term is 92 Answered by Penny Nom. |
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The nth term of a sequence |
2008-11-20 |
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From kim: Find the next 2 terms of the sequence.
11n+2.5 Answered by Harley Weston. |
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The nth term of a sequence |
2008-11-16 |
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From Robin: How do I solve for the next term in the following sequence, I just don't want the answer...I want how to do it to. x,x -1, x -2
Also, how do I solve for the nth term? I can't understand the explanations I've found. He has numbers subscripted in his equations. Answered by Victoria West. |
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1/8, 2/7, 1/2, 4/5, ..., ... |
2008-11-06 |
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From katie: Inductive reasoning, what 1/8, 2/7, 1/2, 4/5, what would be the next two in th sequence. Answered by Penny Nom. |
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A sequence |
2008-10-26 |
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From Nicole: what is the rule to this sequence 3,6,12,24,48..... Answered by Penny Nom. |
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The sequence 49,48,46,43,39... |
2008-10-26 |
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From Kyle: What number comes next in the series 49,48,46,43,39...? Answered by Stephen La Rocque. |
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The sequence 6,1,6,2,6,4,6,8,6, |
2008-10-26 |
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From Kyle: What number comes next in the series 6,1,6,2,6,4,6,8,6,? Answered by Stephen La Rocque. |
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Put in lowest terms 6a^2c/8ab |
2008-10-24 |
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From hana: put in lowest terms 6a^2c/8ab Answered by Stephen La Rocque. |
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nth term |
2008-10-22 |
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From jen: what is a nth term and how do i find the nth term of any sequence Answered by Penny Nom. |
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The nth term |
2008-09-29 |
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From shauna: The first five numbers in a sequence are
40, 37 34, 31, 28
Find an expression for the nth number in the sequence. Answered by Penny Nom. |
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The Intermediate Value Theorem |
2008-09-16 |
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From A.: When dealing with the intermediate value theorem you have the function x^2. It bounces on the axis so you can't tell if lies on the interval [a,b]. So is the ivt proven false or does the ivt not tell you all the roots for sure. Answered by Harley Weston. |
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The nth term of a sequence |
2008-09-13 |
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From lavett: what is the Nth term in the sequence when the sequence is 2,4,8,16... and the term numbers are 1,2,3,4... Answered by Stephen La Rocque. |
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Coefficients, Like Terms, and Constants |
2008-08-14 |
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From Maddie: How Would I Answer This Problem?
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Coefficients |
Like Terms |
Constants |
3x+7 |
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4m+(-3n)+n |
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6kp+9k+kp-14 |
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-8y+6ab+7-3ba |
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c+2c+c-5c+1 |
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I Would Really Appreciate It If You Could Help Me
Sincerely,
Maddie Answered by Penny Nom. |
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Non-terminating, non-repeating decimals |
2008-08-03 |
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From Peter: How do you take a random, non-terminating, non-repeating decimal into a fraction? Answered by Stephen La Rocque. |
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Like terms |
2008-07-14 |
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From Jana: Hello, i am a student in year 8 doing Algebra. My Teacher is doing a sheet with us and it asks us to find Like Terms.
The Questions have sentences and you have to find the Like Term. I was wondering, does it matter when there is numbers that are different? are they still like terms?
I'm really confused, i'll write out an example of the questions, so you know what i mean.
It says to find the like terms:
(1.) c- 3c + 7c
(2.) 4x - 7x + 5x
(3.) 3xy + 4 xy Answered by Penny Nom. |
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Express as a function of x |
2008-07-14 |
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From Rita: Express the area A of an isosceles right triangle as a function of x of one of the two equal sides.
NOTE: I always see the phrase "Express as a function of x" in math textbooks.
What exactly does that phrase mean?
I also have seen it written as "Express in terms of x." Answered by Penny Nom. |
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4 by 4 determinants |
2008-06-27 |
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From rav: How to solve problems of determinants which has four rows and four columns& please give me easy tips to solve permutations and combinations problems. Answered by Harley Weston. |
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Determinants |
2008-05-02 |
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From Henry: I have a question about solving 3x3 matrices.
The traditional way, or at least the way I've been taught, is that if one has a 3x3 matrix such as:
[ a b c ]
[ d e f ]
[ g h i ]
one solves it according to this formula:
[ei - hf) - (bi - hc) + (bf - ec) = determinant.
According to a book I'm now studying to prepare for the California CSET exam, there is another, easier, way to solve it:
[ a b c ] [ a b ]
[ d e f ] [ d e ]
[ g h i ] [ g h ]
In other words, one repeats the first two rows of the matrix and adds them to the right.
At this point, the determinant is calculated thus:
(aei) +(bfg) + (cdh) - (gec) - (hfa) - (idb).
Is this, in fact, correct? Answered by Harley Weston. |
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The nth term |
2008-03-16 |
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From ryan: need help figuring nth term for 1, 2, 5, 14, 41...... could you please help Answered by Penny Nom. |
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1, 1, 2, 3, 5, 8, 13, ___ ___ ___ |
2008-03-13 |
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From Karen: What is the rule for the following pattern, and what would come next?
1, 1, 2, 3, 5, 8, 13, ___ ___ ___ Answered by Penny Nom. |
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Find the next terms |
2008-02-20 |
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From Darrin: I was given a number sequence and can't figure out the next terms to this
2,9,20,35,66,91...... Answered by Penny Nom. |
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O.T.T.F.F.S.S |
2008-01-25 |
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From Omar: What is the next letter in the following sequence:
O.T.T.F.F.S.S Answered by Penny Nom. |
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1/2, 1/2, 3/8, 1/4, 5/32, 3/32, 7/128 |
2008-01-22 |
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From Neil: Find the next two terms in the following number sequence
1/2, 1/2, 3/8, 1/4, 5/32, 3/32, 7/128
Find a general rule for the nth term of the sequence Answered by Penny Nom. |
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A percent as a fraction |
2007-11-24 |
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From Abby: write 43.75% as a fraction or mixed number in lowest terms. Answered by Penny Nom. |
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Area of a 17-sided lot |
2007-11-21 |
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From Lynda: My uncle is wanting to buy this piece of land [a 17-sided polygon] but we are questioning the acerage total. the measurements are [on the attached diagram]. Answered by Stephen La Rocque. |
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The sequence 3,12,26,45.... |
2007-11-12 |
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From Tra: I can seem to find the realtionship in these sequence of numbers, I am looking for the next three. How can I determine that, I have tried everything??!!!
3,12,26,45.... Answered by Penny Nom. |
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For which values of k will k/240 be a terminating decimal? |
2007-10-28 |
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From Clara: For which values of k will k/240 be a terminating decimal? Answered by Stephen La Rocque. |
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The nth term |
2007-10-18 |
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From shannon: Ok , what i am having problems with is the nth term. I get how the numbers come together, but i am having trouble with finding the nth term. Answered by Penny Nom. |
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77,49,36,18,... |
2007-10-11 |
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From Kim: Find a pattern and predict what comes next in this sequence 77,49,36,18,________________. Answered by Penny Nom. |
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calculating percentages for my class |
2007-10-09 |
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From Cori: I teach a class in which there are seven projects/quizzes worth 10% each,
and the midterm and the final are each worth 15%. No problem figuring out
their final grade, but I have to give a mid-term average, having only FOUR
of the seven 10% things, and the midterm test. The closest I've come to
an accurate "average" is to just add them together (as equals) and average them. Answered by Victoria West & Harley Weston. |
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A sequence of numbers |
2007-09-30 |
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From eleanor: can you find the nth term of the sequence ( n starts at three)
1=?
2=?
3= 4
4= 10
5=20
6 = 35
7= 56
i only hand the 3rd 4th 5th 6th and 7th numbers in the sequence
can you please tell me how to find the nth term and what is it :) Answered by Stephen La Rocque and Victoria West. |
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The nth term |
2007-09-29 |
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From zoe: what is the nth term for the following sequence...
5, 2, -1, -4 Answered by Leeanne Boehm. |
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The sequence 2,4,7,11,16,22 |
2007-09-22 |
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From Simon: I thought i understood how to explain how to work out the nth term on a
sequence of numbers until my son had this sequence to work out -
2,4,7,11,16,22
We have worked out the 2nd differance is +1 but nothing else seems to fit.
Im sure the answer is staring us in the face but cant see the wood for the
trees! Answered by Denis Hanson and Steve La Rocque. |
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The nth term |
2007-09-13 |
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From Rookin: Can you help me find the nth term for this ...
20,17,14,11,8
i'm really confused oh and could you also tell me how you got the answer? Answered by Steve La Rocque, Claude Tardif and Harley Weston. |
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What are the next two terms? |
2007-09-11 |
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From Sassy: I can't figure out what the next two integers in this pattern are 3,9,6,12,9 are. Answered by Stephen la Rocque. |
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The nth term |
2007-09-09 |
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From Conor: Please can you help me with this question on the subject of the Nth term.
3.5, 5, 6.5, 8, 9.5
5.1, 7.2, 9.3, 11.4... Answered by Penny Nom. |
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nth term in this series |
2007-09-07 |
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From danii: im trying to solve the nth term for this pattern.
1 3 6 10 15 21 28
any help would be appretiated Answered by Stephen la Rocque. |
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The next term |
2007-09-07 |
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From Ariel: Please explain to me why -3^2 is a -9. One calculator give me an answer of positive 9.
WHAT IS THE NEXT TERM IN Each sequence/ What is its term number?
1/2, 2/3, 3/4, 5/6 6/7
1, 1/4, 1/9, 1/16 Answered by Stephen la Rocque. |
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Triangles, squares and pentagons? |
2007-09-04 |
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From Malea: How do you find the nth term in a set of triangles, squares and pentagons? Answered by Harley Weston. |
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2,6,7,21,22,66,67 |
2007-08-28 |
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From EDWIN: this doesnt make any sense to me....... i cant find the pattern...
2,6,7,21,22,66,67 Answered by Leeanne Boehm and Stephen La Rocque. |
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A matrix of polynomials |
2007-07-18 |
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From Mac: can you please help me out to solve this ?
Let A be a n*n matrix, the elements of which are real (or complex) polynomial in x.
If r rows of the determinant becomes identical when x=a, then the determinant
A) has a factor of order r
B) has a factor or order > r
C) has no factor
D) has a factor of order < r Answered by Harley Weston. |
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How many terms in this sequence? |
2007-06-11 |
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From Jesse: How do I find how many terms are in the sequence? 51, 48, 45, ...., -75 Answered by Stephen La Rocque and Penny Nom. |
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What happens when you have zero's on both sides? |
2007-06-05 |
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From Lily: On the substitution method what happens when you have zero's on both
sides of the equation? Is that considered no solution or infinitely many? Answered by Stephen La Rocque and Penny Nom. |
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3, 6, 12, 21, 33, 48, 66 |
2007-05-02 |
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From Siew: I need to find the nth term formula for the sequence :
3, 6, 12, 21, 33, 48, 66 Answered by Stephen La Rocque. |
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Lowest terms |
2007-04-17 |
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From Dawn: For some reason, I have a hard time with Ratio and/or rate problems.
My problem is as follow: Write each rate or ratio as a fraction in lowest
terms. 6 days to 39 hours Answered by Stephen La Rocque. |
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Write each rate or ratio as a fraction in lowest terms |
2007-04-17 |
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From Dawn: Write each rate or ratio as a fraction in lowest terms.
$59.00 for 231 minutes Answered by Stephen La Rocque. |
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Find the nth term |
2007-02-27 |
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From Dinky: My teacher has set us a project, but i am having trouble finding the nth term for this. the numbers are: 1, 2, 6, 24, 120 could you please help me? thank you dinky113 Answered by Stephen La Rocque and Penny Nom. |
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Evaluating a determinant |
2007-02-25 |
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From Suud: Please send me the detailed steps of calculating the determinant of the following 4by4 matrix -1 -3 1 2 -2 0 -1 1 3 2 0 4 0 -3 1 -2 Answered by Haley Ess. |
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The nth term |
2007-02-13 |
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From Sarah: I am having difficulty in finding the nth term for 7,49,343,2401. Could you please help me in finding the correct answer? Answered by Stephen La Rocque. |
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Find the next 3 terms of the sequence |
2007-02-07 |
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From rose: find the next 3 terms of the sequence 2,3,9,23,48,87 Answered by Penny Nom. |
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5,8,11,14,17 |
2007-01-18 |
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From Mairead: the sequence i was given was 5,8,11,14,17 what is the nth term and what is the 10th term ? Answered by Paul Betts. |
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1, 3, 6, 10... |
2006-12-15 |
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From Lisa: What is the nth term for the sequence, '1, 3, 6, 10...' and could you say how you got the anwser. Answered by Stephen La Rocque and Penny Nom. |
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The nth term |
2006-12-15 |
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From Lisa: I have worked out that the nth term for 1, 4, 9, 16 is n squared and 3, 5, 7, 9 is 2n - 1, so what is the rule for the sequence 1x3, 4x5, 9x7, 16x9? Answered by Penny Nom. |
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The nth term |
2006-12-14 |
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From Hepzibah: what is the definition of nth term and n? Answered by Penny Nom. |
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How many line segments are necessary? |
2006-10-04 |
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From Varun: If you place 35 points on a piece of paper so that no three are collinear, how many line segments are necessary to connect each point to all the others? Answered by Stephen La Rocque. |
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2 5 11 17 23 31 ? |
2006-09-28 |
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From Bernice: How do you determine the next number in the following sequence: 2 5 11 17 23 31 ? Answered by Penny Nom. |
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Find the nth term |
2006-09-13 |
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From Shakira:
my question is - Find an expression for the nth term of each sequence.
a. 6,15, 28, 45, 66
b, 1/5, 3/8, 5/13, 7/20, 6/29 - these are fractions
Answered by Penny Nom. |
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13 57 91 11 31 51 ?? |
2006-06-15 |
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From Chastity: im trying to determine the missing number in the sequence
13 57 91 11 31 51 ?? Answered by Claude Tardif, Steve La Rocque and Natasha Glydon. |
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The nth term of a sequence |
2006-05-24 |
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From A student: please could you give me a formula for the following numbers for my teacher
3 8 15 24 35 Answered by Chris Fisher. |
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Adding polynomials and counting the terms |
2006-04-28 |
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From Kris: Suppose that two polynomials, each containing 3 terms, are added. Is it possible for the sum to contain more than 3 terms? fewer than 3 terms? exactly 3 terms? Explain. Answered by Leeanne Boehm and Steve La Rocque. |
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8,_,4,9,1,_,10,3,_,0 |
2006-03-08 |
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From Rachel: I cant figure out this sequence if someone could help me
8,_,4,9,1,_,10,3,_,0 Answered by Claude Tardif. |
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What names are known for the quarter circle shape? |
2006-03-06 |
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From Christina: What names are known for the quarter circle shape? Answered by Stephen La Rocque and Penny Nom. |
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2,4,9,6,5,6,____,____,____,... |
2006-03-06 |
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From Mike: I am having problems figuring out the following sequence:
2,4,9,6,5,6,____,____,____,...
We were able to guess that the pattern simply started to reverse itself,
but I was wondering if there were other possibilities.
Answered by Claude Tardif. |
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The nth term |
2006-03-05 |
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From Umar: my question is what is the nth term for a house of cards 4 stories high if you use the following numbers:
2 7 15 26 Answered by Penny Nom. |
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The nth term of a sequence |
2006-02-21 |
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From Mike: I'm having trouble finding the nth term in an equation, can you help me? Answered by Stephen La Rocque. |
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Finding the nth term in fractions |
2006-01-23 |
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From Zarina: Each term in this sequence is made by increasing the numerator by 1 and the denominator by 3. here are the first five terms:
1/4, 2/7, 3/10, 4/13, 5/16, ...
(a) write an expression for the nth term: Answered by Penny Nom. |
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Find the nth term |
2005-12-14 |
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From Kevin: How do i find the nth term of 1 4 9 16 25 36 Answered by Penny Nom. |
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A 24 sided polygon |
2005-12-14 |
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From Matt: I would like to know if there is a name for a 24 sided shape Answered by Penny Nom. |
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Inclusive definitions |
2005-12-14 |
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From Layla:
recently the solvable quandary of 5+5+5=550 came up (the question says that you have to put 1 straight line somewhere in the equation to make it true with out turning the "=" into a "not=" sign).
So two answers were put forward:
545+5=550 (the use of a line converting a + into a 4)
AND
5+5+5(less than or equal to)550
There is currently an argument about the second solution. The disagreement is about whether this sign can be used. One person is arguing that the "less than or equal to" sign defines that the number on the left is in the range 550 and below. The other is saying that since the number (which is clearly defined with no variables) can never equal 550, then the "less than or equal to" sign cannot be used in this case.
Which one is the correct definition?
Answered by Walter Whiteley. |
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Percent or percentage |
2005-11-03 |
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From Kenneth:
Which word should be used in the following?
Change a (percent or percentage) to a decimal.
Should the word percent be used only when a number precedes it as in 45 percent?
Answered by Harley Weston and Chris Fisher. |
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2, 6, 12, 20, 30, ... |
2005-11-01 |
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From Rebecca: I have a sequence of I have a sequence of 2, 6, 12, 20, 30, and have no idea how to figure out the nth term please help! Answered by Claude Tardif. |
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Coefficients, constants and like terms |
2005-10-05 |
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From Elizabeth: In the equation -8y+6ab+7-3ab what are the coefficients; the like terms and constants? Answered by Penny. |
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Find the next 5 terms |
2005-09-24 |
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From Grant: n+7, 2n-0.5, 4n. Find the next 5 terms of each one and explain the sequence in words Answered by Penny Nom. |
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Find the first five terms of this sequence? |
2005-09-17 |
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From Jade: my homework says can you find the first five terms of this sequence?
5n-6 i can`t figure it out. Answered by Penny Nom. |
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Finding the nth term |
2005-09-12 |
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From Paul:
Hi , Im having a problem helping my daughter to find the Nth Term in the following sequences.
1/3 1/2 3/5 2/3
and
1 3 6 10
Answered by Penny Nom. |
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1,4,9,1,6,2,5,3,6,4,9,6,4,8,1 |
2005-08-30 |
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From Liz: Find the next four numbers to the sequence 1,4,9,1,6,2,5,3,6,4,9,6,4,8,1,___,___,___,___. Answered by Penny Nom. |
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A matrix problem |
2005-04-04 |
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From Alan:
Let A = |
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1 | -1 | 0 |
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2 | -1 | 2 |
a | b | c |
where a, b, c are constant real numbers. For what values of a, b, c is A invertible? [Hint: Your answer should be an equation in a, b, c which satisfied if and only if A is invertible.]
Answered by Judi McDonald. |
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A sequence |
2004-12-11 |
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From Amanda: Find the nth term of the following sequence
4, 10, 28, 82 Answered by Penny Nom. |
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A sequence |
2004-11-19 |
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From Liucy: Find the Nth term:
10 40 90 160 250 Answered by Penny Nom. |
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1,3,6,11,18,29,__ |
2004-09-21 |
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From Guillermo: How do you get to the answer of this sequence
1,3,6,11,18,29,__ Answered by Claude Tardif. |
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A challenge |
2004-09-17 |
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From Lasse: xy
xx
xyx
xxx
xyxx
"x" and "y" each represents a number.
Find out the system to make the next line Answered by Penny Nom. |
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The nth term |
2004-09-08 |
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From Alex: What is the nth term?... Like what is it?, How do I find it?, and how exactly is used?... Answered by Penny Nom. |
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(2x+5y-6) + (3x-4y+12) |
2004-09-04 |
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From GG: I am a grade 9 student and i do not understand a question. Plz help!
OK here it is........ (2x+5y-6) + (3x-4y+12) Answered by Penny Nom. |
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What is the nth term |
2004-04-07 |
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From Jason: 1 4 10 20 35 56 84
what is the nth term Answered by Claude Tardif. |
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What's the next term? |
2004-03-22 |
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From Garrett:
A friend hit me with these questions and won't tell me the answer nor how... please help? I've racked my brain and did all sorts of formulas, but I can't get it to work out... please...
What's the next number in this series...
5, 12, 17, 29, 46, ?
And this series...
12, 19, 28, 39, 52, 67, ?
and these...
ocoa, boco, oboc, dobo, odob, ?
Answered by Claude Tardif. |
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Dividing zero by infinity |
2004-01-08 |
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From Jason: What do you get when dividing zero by infinity? Our Calculus teacher was pretty sure that the expression was indeterminate from. However, if this is so...Why? Zero divded by any number (except zero) is zero, true. Any number (except infinite) over infinite is zero. So, why isn't Zero divided by infinite zero. A simpler way if I had 4 potatoes and was to split them among 2 friends, each friend would get 2 potatoes. However, if I had 0 potatoes and split them a infinite number of ways, each person would still have 0. Explain please! Answered by Penny Nom. |
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Multiplier and multiplicand |
2003-12-17 |
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From Karen: The K-5 curriculum states that at a grade 5 level students should "understand and use the terms multiplier, multiplicand" The curriculum defines 'multiplicand' as " a number being multiplied by another number. A factor." There is no definition given for 'multiplier'
Question: Define these words- are they just other words for 'factors'. If so, how important is it that students use these terms? It would seem like 'factors' would be the better choice of words to use. If multiplcand refers to eg. the first factor in the equation and the 'multiplier' the seond term, (if in fact it does)- is this not confusing for students when we teach them that multiplication is commutative? Answered by Penny Nom. |
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Indeterminate forms |
2003-10-06 |
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From A teacher: Is it possible for me to find any geometrical interpretation without using calculus to explain indeterminate forms? Answered by Chris Fisher. |
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Terminology |
2003-08-31 |
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From Maria: My daughter Veronica is a rising 6th grader and has to complete some Summer Math assignments and would like to ask you three questions: - ___________ are number pairs that have a product of 1.
- You can name any point on a plane with two numbers. These two numbers are called _____________.
- A _______________ is the size of a cube that is exactly 1 inch on each edge.
Thanks, Answered by Penny Nom. |
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A project about crosses |
2003-06-10 |
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From Joel:
I have this project to do about crosses and I can't think of what the answer is for the following questions: What is the area rule of the crosses (the table below will help you)? Cross Number | Area sq cm | 1 | 5 | 2 | 13 | 3 | 25 | 4 | 41 | 5 | 61 | I also need to know what the formula is for it? Answered by Penny Nom. |
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Two sequences that agree in the first 4 terms |
2003-05-26 |
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From A student: Is it possible to have two formulas that define sequences that agree on the first four terms but not the rest? Answered by Penny Nom. |
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One one |
2003-04-22 |
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From Brad: find the next two rows of numbers?
1
1 1
2 1
1 1 1 2
3 1 1 2
1 1 1 2 1 3
Answered by Leeanne Boehm. |
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Division names |
2003-03-10 |
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From A parent: what is the answer to a division problem called Answered by Penny Nom. |
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A determinant |
2003-02-13 |
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From A student:
I have to find the determinant of the following matrix -2 | 3 | 1 | 2 | 4 | -3 | 0 | -2 | 5 | 1 | 4 | 2 | 1 | -3 | 5 | 2 | 3 | 4 | -1 | 2 | 6 | 0 | 3 | 2 | -4 | Answered by Penny Nom. |
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Finite differences |
2003-02-10 |
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From Jenny:
I need to find a formula that will work with any number. I am finding the volume of a 3d cross- shape. Here are my results so far:
Term Number 0 1 2 3 4 5
nth term 1 7 25 63 129 231
1rst diff 6 18 38 66 102
2nd diff 12 20 28 36
3rd diff 8 8 8
I can't seem to find a formula that will work with any number. Any help would be much appreciated. Answered by Penny Nom. |
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Radians |
2003-01-16 |
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From Erikson: I am a student in the 10th grade and attending advanced math at my high school. I was assign to do a report about the unit circle and the radian. But there seems to be no information available about the history of the radian; who first found out about them, which civilizations used it if any. Well, hopefully you'll assist me in this troubling question. Thank you for your kind consideration. Answered by Penny Nom. |
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What is nth term? |
2002-11-06 |
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From Joga: What is nth term: First sequence: 2, 4,7,11, 16, nth term Second sequence: 4,10, 28, 82, nth term Answered by Penny Nom. |
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8,27,64 . . . |
2002-09-05 |
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From Mike: We have been trying with no luck all night to complete the following math pattern (next 3 entries) 8,27,64 . . . Any ideas?? Answered by Penny Nom. |
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1, 2, 4, 8, 16, 32, etc. |
2002-09-04 |
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From Ginger: I've been working with finding the nth term for a few weeks, and i can't seem to figure this one out! 1, 2, 4, 8, 16, 32, etc. Answered by Leeanne Boehm. |
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What is the next term? |
2002-06-21 |
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From A student: What is the next term in the sequence: 1, 5, 14, 30..... Answered by Penny Nom. |
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Overlapping circles |
2002-05-29 |
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From Naman: There are two circles, big circle with radius R and small one with radius r. They intersect and overlap in such a way that the common area formed is 1/2 pi r 2 (half the area of the small circle) If r=1, find the Radius of the big circle (R)? Answered by Harley Weston. |
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Sequences that agree on their first four terms |
2002-05-16 |
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From Mike: Are there two formulas that define sequences that agree on their first four terms, but differ on the fifth term and all succeeding terms? Answered by Chris Fisher. |
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What's the next term? |
2002-04-29 |
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From A student: Find the nth term for the following: 1) 12, 30, 56, 90, 132 2) 6, 30, 84, 180, 330 3) 8, 15, 24, 35, 48 4) 10, 17, 26, 37, 50 5) 24, 40, 60, 84, 112 6) 24, 60, 120, 336, 504
Please show the FULL working out. Answered by Penny Nom. |
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1,4,27,____,_____46656 |
2002-02-21 |
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From Brenda: 1,4,27,____,_____46656..... please find the fourth and fifth numbers in this sequence. Answered by Penny Nom. |
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Successive differences |
2002-01-20 |
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From Linsey: what is the rule for working out the formula for a sequence with three lines of difference? eg.
1, 3, 7, 15, 29
1st line differences: 2, 4, 8, 14
2nd line differences: 2, 4, 6
3rd line differences: 2, 2 Answered by Penny Nom. |
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A sequence |
2002-01-16 |
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From Chris: I have spent two days trying to determine the pattern to the following set of numbers: 1,4,9,1,6,2,5,3,6,4,9,6,4,8,1,____. I need the next four numbers to the sequence. Answered by Claude Tardif. |
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A sequence of number pairs |
2002-01-10 |
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From Terry: Three is the first number of a pair, and 8 is the second.
a. If 50 is the first number, what is the second number? b. If 200 is the first number, what is the second number? c. If 89 is the second number, what is the first number? d. If a number n is the first number, what is the second number?
3-8 4-11 5-14 6-17 ____ ____ ____ 10-29 ____ ____ ____
Answered by Peny Nom. |
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Algabra |
2001-12-13 |
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From Stephanie: My name is Stephanie. My grade 7 class is doing some strange form of algebra which I've never done nor seen before. We are doing equations like these: 3y - 6 + 7 - 4y = 6y - 6. I don't really understand them and was wondering if you could help me do my homework and explain how to at the same time. It would be really great if you could!!!!! Thank you so much! -Stephanie - -9x - 5 - 8 + x = ?
- 5 + 6x - 3y + x + 8y = ?
- -x - 3 + 5x + 6y + 8x - 9= ?
Answered by Penny Nom. |
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Normal lines |
2001-12-11 |
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From Kristie: Why are perpendicular lines called normal lines? Answered by Chris Fisher. |
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Fractions in lowest terms |
2001-12-05 |
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From Thomas: how to change decimal to a fraction in the lowest terms .7 .65 .019 .0111 .225 .1225 .625 .25 .025 .26 .875 .5 .75 .750 .33 .09 .44 .15 .12 .90 .044 .2500 .95 .500 .02 .40 .125 .1276 .00009 .45 .125 .1276 .375 .975 .054 .0005 .20 .2 .0001 .85 .80 .9 .0007 9.8 10.17 25.75 48.4 80.35 19.64 276.20 31.042 18.1034 Answered by Penny Nom. |
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Undetermined coefficients |
2001-11-22 |
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From Hoda: The equation is: y" - 2y' + y = t et + 4 We need to use The method of Undetermined coefficients. I have tried assuming that the solution is Atet+Bet+C, but all I get is C=4 and I tried (At2+Bt+C)et+D, but again I get 0=0 when I calculate the first and second derivatives, so i get no information on the constants. Any suggestions? Answered by Harley Weston. |
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Number sequences |
2001-11-17 |
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From Stephanie: My name is Stephanie. My grade 7 math class is studying number sequences and, to me, they make almost no sense at all. Here I wrote down 2 of the many problems I have for homework and was wondering if you could explain them to me (I have to find the next 3 numbers in each sequence.) It would be a big help! 10, 14, 18, 22, _, _, _. 12, 21, 39, 75, _, _, _. Answered by Penny Nom. |
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A sequence of even terms |
2001-04-29 |
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From A student: A sequence c is defined recursively as follows: c0 = 2 c1 = 4 c2 = 6 ck= 5ck-3 for all integers Prove that cn is even for all integers. Answered by Leeanne Boehm and Penny Nom. |
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Expanding determinants using minors |
2001-02-20 |
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From A student: Question: 1) Determinants by expansion by minors. i) | 1 2 1 2 1 | | 1 0 0 1 0 | | 0 1 1 0 1 | | 1 1 2 2 1 | | 0 1 1 0 2 | Answered by Harley Weston. |
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Some terms in a sequence |
2001-01-15 |
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From jamie: Please help as soon as possible! i am stuck with some terms in a sequence. the terms are 1st term=1, 2nd term=10, 3rd term=35, 4th term=84, 5th term=165, 6th term=286. can anyone tell me the formula for the nth term? n is term number Answered by Sukanta Pati. |
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A sequence question |
2000-10-23 |
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From Chell: I have the following sequence: 4 16 37 58 89 145 42 20 I have no clue how to arrive at an answer. I've checked to see if it can be defined as an arithmetic or geometric series, and it can't. I've looked for primes and noticed that 37 and 89 are the only primes ... but from there I've lost. Nothing I've tried seems to work, so please help! Thanks a million!!!! Answered by Chris Fisher. |
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Find the next term |
2000-08-12 |
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From Ashley: 8,27,64 I need the next three numbers & I can't figure it out. I have worked on this all day. Answered by Penny Nom. |
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A sequence |
2000-06-16 |
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From Claire Hall: Can you find the formula for the pattern 4,12,24,40,60 Answered by AClaude Tardif. |
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Simplifing |
2000-06-15 |
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From Angie Herbert: My daughter is having problems with her algebra homework. She is a year 7 pupil at high school in the UK. She has been given homework on simplifying formulae and she doesn't understand how to do them. Here is an example of one of the questions : 9s+7t+5c+5s-3t can you help her to understand how to do these and perhaps me too. Answered by Penny Nom and Claude Tardif. |
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The weight of a watermelon |
2000-04-25 |
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From Lori Speir: If I have a 100 pound watermelon and it is 99% water. If it sits out in the sun all day and is now only 98% water what does it weigh now? Answered by Penny Nom. |
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I am in lowest terms. |
2000-03-21 |
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From Travis Fox: I am in lowest terms. When you double my numerator and my denominator the result is 10/15. Answered by Penny Nom. |
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Completing a sequence |
2000-03-17 |
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From David Grimmer: Complete the following sequence so that, after the first two terms, each successive term is the average of all the preceding terms. 20__ __ 28 __ __ Answered by Penny Nom. |
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What's the next term? |
2000-02-29 |
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From Meredith O'Neill: At this point, the whole family wants to know the answer. if possible an explanation. thanks a sequence ? 16,37,58,89,145 ?? Answered by Chris Fisher. |
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order 4+ determinants |
1999-12-06 |
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From Joe Kron: Why is it never shown how to calculate the value of 4x4 (or larger size) deteminants by the diagonal multiply methods that are generally shown for 2x2 and 3x3 determinants? The method I'm talking about is called Cramer's Rule??? Is this method not extensible to order 4+ and if not why not? Anyway the method always shown for order 4+ is called "reduction by minors" which is not the answer to this question. Answered by Walter Whiteley. |
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Number sequences |
1999-11-11 |
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From Justin Schessler: I CAN NOT figure out this sequence or how we continue this sequence... 3,2,6,5,15,14,___,___,___ Answered by Chris Fisher and Harley Weston. |
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Area of a triangle from vertex coordinates |
1999-04-21 |
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From Mark Tyler: I'm no schoolkid, but I liked your answers about triangles. You might enjoy a quick look at this, the kids may too. I was working on a Voronoi dual where I had to calculate the areas of very many triangles expressed as vertex coordinates, so I derived the following very direct formula: A = abs((x1-x2)*(y1-y3)-(y1-y2)*(x1-x3)) for triangle (x1,y1)(x2,y2)(x3,y3) I've never seen this in a textbook. Is it original? I doubt it, the proof is only a few lines long. Regardless, it may be fun for the kids, even if it's not on the curriculum. Answered by Walter Whitley. |
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Finding a rule for a sequence |
1999-02-17 |
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From Lindsey Masters: I'm doing a maths investigation and i have a sequence which goes:- 13,16,25,32,45,56,73. Our teacher told us we have to find a rule by looking at the differences of the terms until we find a constant. The first differences are:- 3,9,7,13,11,17. The differences of these are:- ...... Please could you tell me how to work it out so that I could work out the rules of similar sequences. Answered by Penny Nom. |
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Indeterminate forms |
1998-12-11 |
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From R. Dixon: What is the correct evaluation of infinity/0 ? I've checked three different math sites. One says definitively, that infinity/0 is "not" possible. Another states that infinity/0 is one of the indeterminate forms having a large range of different values. The last reasons that infinity/0 "is" equal to infinity. Answered by Walter Whiteley and Harley Weston. |
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Intersection of Planes |
1998-12-03 |
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From Lindsay Fear: My name is Lindsay Fear. I am an OAC student (which is the Ontario equivalent to Grade 12 in most other states and provinces). I am in an Algebra and Geometry course and am currently studying a unit on equations of planes. Our teacher has given us this question that my friend and I have attempted several times, but we are still unable to solve it. My teacher has also suggested using the internet as a resource. The question is: Prove that a necessary condition that the three planes -x + ay + bz = 0 ax - y + cz = 0 bx + cy - z = 0 have a line in common is that a^2 + b^2 + c^2 + 2abc = 1 Answered by Walter Whiteley. |
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Terminating decimals |
1998-11-16 |
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From Debra Karr: A college student studying elementary education asked me a question that I could not think of the correct answer. How can you look at a fraction and tell if is a terminating or non terminating decimal? Answered by Jack LeSage and Penny Nom. |
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What's the next term? |
1998-11-12 |
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From Ilia: What the formula and explonation for formula for next patterns: 1) 1, 4, 10, 20, 35, 56, 84,... 2) 0, 6, 30, 90, 210, 420,... Thanks! Answered by Penny Nom. |
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The Division Bracket. |
1997-04-09 |
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From Judy Riley: A fellow teacher recently asked if I remembered the exact word for a division bracket (not the symbol with dots, the horizontal line in a fraction, or a solidus). I couldn't. Can you help? Answered by Walter Whiteley and Harley Weston. |
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Pronunciation |
1996-03-05 |
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From Todd Stienhauser: Is 123.4 pronounced "one hundred and twenty three and four tenths"or "one hundred twenty three and four tenths"? Answered by Penny Nom. |
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Terminologie mathematique |
2010-10-31 |
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From Adil: Bonjour ,
Pourriez-vous m'indiquer les titre et auteur d'un bon dictionnaire
francais anglais de terminologie mathematique ?
Auriez-vous egalement l'adresse d'un site web traduisant du francais
a l'anglais les termes ert expressions mathematiques ?
Merci par avance,
Adil Answered by Pierre-Louis Gagnon. |
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Le terme suivants |
2008-03-30 |
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From jacques: voici 2 suites. Explique la logique qui permet de passer d'un terme a l'autre dans chacune des suites et trouve le terme suivants. 1)douze,5,trente,6,neuf,4,seize,... no.2) 26,vx,18,dt,36,tx,51,... Answered by Maxime Fortier Bourque. |
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Taux à déterminer |
2006-11-01 |
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From Barrault: Une certaine année,un article augmente d' un certain taux "t" au premier semestre puis d' un taux triple du premier au second semestre, sachant que l' augmenation globale sur l' année est 66.75%; uels sont les taux pour chacun des deux semestres de l' année? Answered by Claude Tardif. |
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Matrice |
2006-02-01 |
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From Kader: mon probleme est le suivant soit deux matrices carrees A et B d'ordre n qui sont anticommutatives AB= -BA , demontrer que au moins une des deux matrices n'est pas inversible si n est impair.
je n'arrive pas a utiliser le fait que n soit impair, trouver le rapport entre n impair et inverse des matrices, je pars sur la base de DETAB=DETA*DETB Answered by Claude Tardif. |
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