Question

prove that the product of two consecutive no. is divisible by 2 . class 10

Answer 1

consecutive number 1&2 3&4 6&7
1x2=2 divisible by 2
25x26=650 divisible by 2
hebce proved

Answer 2

let two consecutive now are x and (x+1)
their product x (x+1)=x^2+x
puting x= -infinity<= x <=infity ....
or for every value of x
x^2+x is divisible by 2
example if we put x=-5
then x^2+x= 25-5=20 that is divisible by 2