Question

prove that the product of two consecutive positive integers is divisible by 2 ​

Answer 1

let the two consecutive integers are x and x+1 ;

so product of both the terms are divisible by 2;

if x is odd integer then x+1 is even;

if x is even integer then x+1 is odd;

in any case the product of x and x+1 is even;

Any even term is divisible by 2

Answer 2

$\huge\red{answer}$

=(2q+1) 2(2q+1)

It is divisible by 2

Positive integers is divisible by 2

Therefore Hence verified.