Show that `10^(2n-1)+1` is divisible by 11 for all natural numbers n.

prove that 3^(2n)-1 is divisible by 8, for all natural numbers n.

prove that 4^(n)-1 is divisible by 3, for each natural number n.

Prove by Principle of Mathematical Induction that (10^(2n -1) + 1) is divisible by 11 for all n in N .

Use the principle of mathematical induction to show that 5^(2n+1)+3^(n+2).2^(n-1) divisible by 19 for all natural numbers n.

The number 10^(N) - 1 is divisible by 11 for :

The number 10^N-1 is divisible by 11 for :

5^(2n)-1 is divisible by 24 for all n varepsilon N

prove using mathematical induction: -n(n+1)(n+5) is divisible by 6 for all natural numbers