Topic: arithmetic sequence list of topics
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20 items are filed under this topic.

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	Three consecutive terms of an arithmetic sequence		2011-10-30
		From Juliette: Find X when x, 1/2x + 7, 3x -1 are consecutive terms of an arithmetic sequence. Answered by Penny Nom.
	4 + 10 + · · · + (6n − 2)		2010-04-21
		From Lan: Find the sum 4 + 10 + · · · + (6n − 2). The answer is 3(n^2) + n. How? Answered by Penny Nom.
	How many terms are there in this sequence?		2009-09-28
		From tabby: How many terms are there in this sequence? 5,1,-3,...,-111 Answered by Penny Nom.
	The middle term of an arithmetic sequence		2008-12-15
		From Leigh: Find the sum of the first fifteen terms of an arithmetic series if the middle term is 92 Answered by Penny Nom.
	How many terms in this sequence?		2007-06-11
		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.
	Arithmetic Series		2007-02-18
		From Krista: Question- The sum of the first 4 terms of an arithmetic series is -8 and the sum of the first 5 terms is 500. Determine the sum of the 3 terms. Answered by Stephen La Rocque.
	5,8,11,14,17		2007-01-18
		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.
	The sum of 2000 consecutive integers is 1000		2006-10-29
		From Matias: if the sum of 2000 consecutive integers is 1000, then the sum digits of the greatest of these 2000 integers is? Answered by Penny Nom.
	Arithmetic and Geometric Sequences		2006-04-19
		From Skye: If the 1st, 4th, and 8th terms of an arithmetic sequence are consecutive terms in a geometric sequence, find the common ratio of the geometric sequence. Answered by Stephen La Rocque.
	An Arithmetic sequence		2005-12-01
		From Aana: The first term in an arihmetic series is 25 and the 3rd term is 19. Find the number of terms in the series if its is 82. Here's what I did to find d a+2d=19; 25+2d= 19 ;19-25=2d d=-6/2=-3 This is where I'm stuck. Can you please provide me with some guidance. Answered by Penny Nom.
	An arithmetic progression		2004-12-24
		From A student: the 4th and 5th term of an arithmetic progration 47 and 52 respactively find a)d b)a1 c)a50 Answered by Penny Nom.
	The sum of 4,0,-4..., -156		2004-04-28
		From Christina: find the requested sum of the arithmetic sequence 4,0,-4..., -156 Answered by Penny Nom.
	Finite differences		2003-02-10
		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.
	The sum of the first 1000 even integers		2003-02-06
		From Jill: What is the sum of the first 1000 even integers? Answered by Paul Betts.
	Arithmitic sequence		2003-02-01
		From A student: I am having problems solving this arithmetic sequence... 1, 5, 10, ___, 50, 1.00, ___, 10.00, ... I believe the answers to be 25 and 5.00 but I can't figure why. Answered by Claude Tardif.
	Arithmetic sequences		2001-09-10
		From Rachel: I can't seem to figure out a problem that deals with arithmetic sequencing. This is the question: The 5th term in an arithmetic sequence is 1/2, and the 20th term is 7/8. Find the first three terms of the sequence. I attempted this problem with the formula: An = a + (n-1)d (where the n represents the nth term, a is the first term, and d represents the common difference) I keep getting -9.5 for the first number, and then 3/120 as the common difference between the numbers. But as I have figured it, the sequence is getting greater and greater, and my data does not go with the terms given. Answered by Penny Nom.
	Geometric and arithmetic sequences		2001-01-26
		From Garry: what are the equations for geometric and arithmetic sequences? also, what are the equations for finding the sums of those series? Answered by Leeanne Boehm and Penny Nom.
	The sum of the squares of 13 consecutive positive integers		2000-08-25
		From Wallace: Prove that it is not possible to have the sum of the squares of 13 consecutive positive integers be a square. Answered by Harley Weston.
	The number of seats in an auditorium		2000-05-16
		From David Evaska: There are 10 students in the first row of seats in an auditorium 12 in the second 14 in the third and 2 additional in each seat. The total number of rows is 40. I know the answer is 1960 can you please show me the formula step by step. Answered by Penny Nom.
	Sequences and series		1998-05-27
		From Michael Le Francois: The sum of the first ten terms of an arithmetic series is 100 and the first term is 1. Find the 10th term. The common ratio in a certain geometric sequence is r=0.2 and the sum of the first four terms is 1248 find the first term. Answered by Penny Nom.

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