Show that `5^(2x) -1` is divisible by 24 for all `n in N`.

Show that 10^(2n)-1 is divisible by 11 for all n in N .

Show that 5^(2n) -1 is divisible for all n in N by 24.

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

Prove that 2.7^(n)+ 3.5^(n)-5 is divisible by 24 for all n in N

49^(n)+16n-1 is divisible by

If p is a fixed positive integer, prove by induction that p^(n +1) + (p + 1)^(2n - 1) is divisible by P^2+ p +1 for all n in N .

By mathematical induction show that 7^(2n)+16n-1 is divisible by 64.

Use induction to prove that n^(3) - n + 3 , is divisible by 3, for all natural numbers n