By mathematical induction prove that `2^(3n)`-1 is divisible by 7.

Using principle of mathematical induction, prove that 7^(4^(n)) -1 is divisible by 2^(2n+3) for any natural number n.

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

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

Prove that by using the principle of mathematical induction for all n in N : 10^(2n-1)+1 is divisible by 11

Prove that by using the principle of mathematical induction for all n in N : 3^(2n+2)-8n-9 is divisible by 8

Prove that by using the principle of mathematical induction for all n in N : x^(2n)-y^(2n) is divisible by x+y

Using binomial theorem, prove that 2^(3n)-7^n-1 is divisible by 49 , where n in Ndot

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