Prove, by induction, that `8 * 7^n + 4^(n+ 2)` is divisible by 24 but not by 48 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. 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. (2^(3n)-1) is divisible by 7 for all n in N .

Using the principle of mathematical induction, prove that (7^(n)-3^(n)) is divisible by 4 for all n in N .

Prove, by Mathematical Induction, that for all n in N, 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

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

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

3^(2n)+7 is divisible by 8 for all n varepsilon N

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