prove that for any natural numbers n, `7^(n)-2^(n)` is divisible by 5.

Prove that For any natural number n, 7^n - 2^n is divisible by 5.

Prove the statement by the principle of mathematical induction : For any natural numbers n, 7^n - 2^n is divisible by 5.

For any natural number n, (15xx5^(2n))+(2xx2^(3n)) is divisible by

Prove by mathematical induction that for every natural number n, 3^(2n+2)-8n-9 is divisible by 8.

Prove by principle of Mathematical Induction that for all natural number in n(n+1)(n+2) is divisible by 6.