Question

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

Answer 1

Answer:

take 8*9 , and divide them by 2

hope this helps u

plz mark me as brainliest

Answer 2

Answer:

BTS forever

army forever

please mark me as brainliest

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