Question

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

Answer 1

Answer:

• Hence any integer is of one of the form 2q, 2q+1. Hence n(n+1) = 2((2q+1)(q+1)), which is even. Hence n(n+1) is always even. Hence the product of two consecutive integers is always divisible by 2.
• Step-by-step explanation:

Oye

Answer 2

Answer:

let the two consecutive number be 2 and 3

According to the question

Product = Divisible by 2

Now

2×3= Divisible by 2

6 = Divisible by 2

So it's proved