Question

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

Answer 1

Answer:

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(2k  

2

+3k+1)

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