Question

Prove that product of two consecutive positive integer is divisible by 2

Answer 1

maybe the product of two consecutive positive integer is divisible by 2 are
2/2*1/1=2/2
and
2/2*2/2=4/4
maybe it will help you
if it is wrong please reply me the answer

Answer 2

Answer:

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Let n and n + 1 are two consecutive positive integer

We know that n is of the form n = 2q and n + 1 = 2q + 1

n (n + 1) = 2q (2q + 1) = 2 (2q2 + q)

Which is divisible by 2

If n = 2q + 1, then

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

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

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

Which is also divisible by 2

Hence the product of two consecutive positive integers is divisible by 2