Question

Show that n² + n is divisible by 2 for any positive integer n

Answer 1

Hello Mate,

$\huge{\red{\star}} {\blue{\huge{\mathfrak{Solution}}}} \huge{\red{\star}}$

We should remember in this question that the product of any two consecutive integers is always divisible by 2

Now, we are given an expression

${n}^{2} + n$

By taking 'n' common we get,

$n (n + 1)$

We know if 'n' is any integer, 'n' and 'n + 1'

are consecutive.

So hence any integer value of 'n' will always be divisible by

Hope it helps:)