Question

. Prove that n square- n is divisible by 2 for
every positive integer n.​

Answer 1

Given that,

n²–n should be divisible by 2 for every positive integer n

so we should replace n by any positive integer.

→If n=1,

n²-n=(1)²-1

=1-1=0

0 is divisible by 2.

→If n=2,

(2)²-2=4-2=2

2 is divisible by 2.

→If n=3,

(3)²-3=9-3=6

6 is divisible by 2.

→If n=4,

(4)²-4=16-4=12

12 is divisible by 2.

So, we conclude that n²-n is divisible by 2 for every positive integer n.

Hence proved...............................™✌️✌️

Answer 2

n2-n is divisible by 2

n is 4,6,8,10

might be usefull

thank me