Prove by the principle of mathematical induction that for all `n in N ,3^(2n)` when divided by `8` , the remainder is always `1.`

By the Principle of Mathematical Induction, prove that for all n in N, 3^(2n) when divided by 8, the remainder is 1 always.

Prove the following by using the principle of mathematical induction for all n in N 3^(2n) when divided by 8, the ramained is always 1.

Prove by the principle of mathematical induction that n<2^n"for all"n in Ndot

Prove by the principle of mathematical induction that 2^ n >n for all n∈N.

Prove by the method of mathematica induction that for all ninNN,3^(2n) when divided by 8, the remainder is always 1.

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 .

Prove by the principle of mathematical induction that for all n in N. 5^(2n)-1 is divisible by 24 for all n in N .

Prove by the principle of mathematical induction that for all n in N. (2^(3n)-1) is divisible by 7 for all n in N .

Prove by the principle of mathematical induction that for all n in N : 1+4+7++(3n-2)=1/2n(3n-1)

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