Question

Prove that (n²+n) is divisible by 2 for any positive integer n​

Answer 1

Answer:

I hope it will help you..

plz mark me as brainliest....

Answer 2

Step-by-step explanation:

we know that the square of even numbers is even and the square of odd numbers is odd.

2*2= 4

3*3= 9

4*4= 16

5*5= 25

and so on...

so,

(i) when n is odd, n*n is odd,

and when you add (n*n)+n , addition of two odd numbers Is always even so it is always divisible by 2.

(ii) when n is even, n*n is even,

and addition of two even numbers i.e. (n*n +n) is also even, hence divisible by 2.

therefore, (n*n +n) is divisible by 2 for any positive integer n.