Question

If n is an odd integer show that n^2-1 is divisible by 8

Answer 1

Step-by-step explanation:

we know that the odd numbers are = 3,5,7.......

then ,

let n = 3,

we have

1. n^2 -1 = (3)^2 - = 8
2. 8 is divisible by 8.

let n = 5

we have

1. n^2-1= (5)^2-1 = 25 -1 = 24
2. here 24 also divisible by 8.

we can say that n is an odd ineger then n^2-1 is divisible by 8. (proved)