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Prove that n square - n is divisible by 2 for every positive integer q.

Prove that n square - n is divisible by 2 for every positive integer q.

Grade:9

1 Answers

vikas nain
45 Points
5 years ago
n- n is divisble by 2 or not?
it may be written as n(n-1) 
now let n is odd , then n-1 will be even , so multiple of n and n-1 will be even. every even number is divisble by 2,
now let n is even, then n-1 will be odd, again mutliply of nodd and even is equal to even, so again every even number is divisble by 2, hence proved.
 

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