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even integers

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The sum of three consecutive even integers 2019-01-27
Pauleen pose la question :
Translate this into algebraic expression
The sum of three consecutive even integers, if x is the first even integer

Penny Nom lui répond.
Divisibility of 3n^5+7n 2016-12-14
Parag pose la question :

Question from Parag, a student:

if n is a natural number,then 3n^5+7n is divisible by
a)2
b)3
c)5
d)7

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


Penny Nom lui répond.
Five consecutive even integers 2016-08-12
Marcelle pose la question :
The average of 5 even consecutive numbers is 112. What is the largest numbers?
Penny Nom lui répond.
Even and odd 2014-11-28
Subrahmanya pose la question :
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

Y=(-1)^n999+(-1)^n1000+............+(-1)^n1997

Then

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

Penny Nom lui répond.
If n is odd, then n^2 - 3 is even 2012-12-11
Tracy pose la question :
Prove the statement:

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

Penny Nom lui répond.
The product of two consecutive even integers 2010-05-11
Terry pose la question :
The product of two consecutive even integers is 14 more than their sum. Find the integers.
Penny Nom lui répond.
Consecutive even integers 2010-02-03
cassandra pose la question :
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.

Tyler Wood lui répond.
Is zero an even or odd number? 2000-02-06
Christian Hansen pose la question :
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?
Patrick Maidorn lui répond.
 
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