`n^2 -1` is divisible by 8, if n is

if n is an odd integer, then show that n^(2) - 1 is divisible by 8.

By using mathematical induction prove that 3^(2n)-8n-1 is divisible by 64 when n is an integer.

Statement 1:3^(2n+2)-8n-9 is divisible by 64,AA n in N. Statement 2:(1+x)^(n)-nx-1 is divisible by x^(2),AA n in N

Prove by mathematical induction that for every natural number n, 3^(2n+2)-8n-9 is divisible by 8 for all n ge 1.

Consider the statement P(n)=3^(2n+2)-8n-9 is divisible by 8 Verify the statement for n=1.

Using binomial theorem,prove that 3^(2n+2)-8^(n)-9 is divisible by 64, where n in N.

Prove that by mathematical induction : 3^(2n+ 2) - 8n - 9 is divisible by 64 where n in N.

Prove by the principle of mathematical induction that for all n in N. 3^(2n)+7 is divisible by 8 for all n in N .