Question

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

Answer 1

Answer:

1*2=2. here 2/2=1

2*3=6. here 6/2=3

3*4=12. here 12/2=6

The product of two consecutive positive integers is divisible by 2 because in every case there will the multiplication of one even number and one odd number. (PROVED)

Answer 2

Answer. Let the two consecutive positive integers be and Product of two consecutive positive integers Case (i): is even number Let Hence the product is divisible y 2 Case (ii): is odd number Let Clearly the product is divisible y 2 From the both the cases we can conclude that the product of two consecutive positive integers is divisible by 2.