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even integers

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7 items are filed under this topic.
Divisibility of 3n^5+7n 2016-12-14
From Parag:

Question from Parag, a student:

if n is a natural number,then 3n^5+7n is divisible by

i got the answer but still i need a valid alternate approach.

Answered by Penny Nom.
Five consecutive even integers 2016-08-12
From Marcelle:
The average of 5 even consecutive numbers is 112. What is the largest numbers?
Answered by Penny Nom.
Even and odd 2014-11-28
From Subrahmanya:
n1, n2, n3....................,n1997 are integers not necessarily distinct. (actually in n1, n2,.............., n1997 the numbers 1,2,.................,1997 are subscripts of 'n')

X= (-1)^n1+(-1)^n2+............+(-1)^n998



which of the following options is true

A) (-1)^X = 1, (-1)^Y = 1 B) (-1)^X = 1, (-1)^Y = -1
C) (-1)^X = -1, (-1)^Y = 1 D) (-1)^X = -1, (-1)^Y = -1
E) none of these

Answered by Penny Nom.
If n is odd, then n^2 - 3 is even 2012-12-11
From Tracy:
Prove the statement:

For all integers n, if n is odd, then n2 - 3 is even.

Answered by Penny Nom.
The product of two consecutive even integers 2010-05-11
From Terry:
The product of two consecutive even integers is 14 more than their sum. Find the integers.
Answered by Penny Nom.
Consecutive even integers 2010-02-03
From cassandra:
find 2 consecutive even integers whose sum is 34

find 3 consecutive even integers such that 3 time the middle interger is 10 more than the greatest.

Answered by Tyler Wood.
Is zero an even or odd number? 2000-02-06
From Christian Hansen:
On a list I run, someone posted that 02-02-2000 was the first date since 28-08-888 where all the digits were even. Of course, this provoked a discussion of whether zero was odd, or even, or neither. I remember reading that, for symmetry's sake, it is considered by mathematicians to be even. Any thoughts?
Answered by Patrick Maidorn.



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