Using the principle of mathematical induction, prove that `(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 .

Using principle of mathematical induction prove that 2^(3n)-1 is divisible by 7 .

Using the principle of mathematical induction. Prove that (x^(n)-y^(n)) is divisible by (x-y) for all n in N .

Using the principle of mathematical induction. Prove that (x^(n)-y^(n)) is divisible by (x-y) for all n in N .

Using the principle of mathematical induction. Prove that (x^(n)-y^(n)) is divisible by (x-y) for all n in N .

Using the principle of mathematical induction. Prove that (x^(n)-y^(n)) is divisible by (x-y) for all n in N .

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

Using principle of mathematical induction prove that x^(2n)-y^(2n) is divisible by x+y for all nN.

Using the principle of mathematical induction prove that 3^(2n+1)+2^(n+2) is divisible by 7 [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 .