Grade 910 grade maths
Prove that n square - n is divisible by 2 for every positive integer q.
1 Answer
vikas nain
n2 - 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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