18-04-2018
Mathematics

contestada

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

Respuesta :

konrad509 konrad509

04-08-2018

[tex] n^2-n=n(n-1) [/tex]

[tex] n(n-1) [/tex] is a product of two consecutive numbers, one of which, must be even. Therefore the number is divisible by 2.

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