Using Binomial Theorem, prove that `3^(2n+2) - 8 n - 9` is divisible by 64 for all n `in` N.

Prove that 3^(2n)+24n-1 is divisible by 32 .

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

Prove that : 7^(2n)+(2^(3n-3))(3^(n-1)) is divisible by 25 forall n in N .

Use the Principle of Mathematical Induction to prove that n(n + 1) (2n + 1) is divisible by 6 for all n in N.

Show that 9^(n+1) - 8n -9 is divisible by 64, whenever n is a positive integer.

Prove that (25)^(n+1)-24n+5735 is divisible by (24)^2 for all n=1,2,...

Show that 9^(n+1) -8n -9 is divisible by 64, whenever n is a positive integer.

Using Binomial theorem, prove that 6^(n)-5n always leaves remainder 1 when divided by 25.

Using mathematical induction prove that n^(3)-7n+3 is divisible by 3, AA n in N