Question

- Prove that product of a two consecutive positive integers
is divisible by 2.​

Answer 1

Answer:

2x3 =6

it is divided by 2

I hope this is helpful for you

Answer 2

Step by step explanation

Let the 2 consecutive numbers be, x,x+1

product of these consecutive numbers, =x(x+1)

(1) even

let, x=2k

product =2k[2k+1]

from above equation it is clear that the product is divisible by 2

(2) odd

let, x=2k+1

product =(2k+1)[(2k+1)+1]

=2(2k2+3k+1)

from above equation it is clear that the product is divisible by 2