prove that n - n is divisible by 2 for every positive integer n - Maths - Real Numbers

Question

prove that n? - n is divisible by 2 for every positive integer n

Arun Kumar · Accepted Answer

Dear student , nÂ² - n = n(n-1) If n is an odd number ,
this implies n-1 is an even number and divisible by 2 Hence n(n-1)
is divisible by 2 If n is an even number then n is divisible by 2
=> n(n-1) divisible by 2 Hence nÂ² - n is divisible
by 2 for every positive integer n Regards

prove that n? - n is divisible by 2 for every positive integer n.