By mathematical induction, show that `49^n+16n-1` is divisible by 64 for all positive integer n.

Using the principle of Mathematical Induction, Show that 49^n+16n-1 is divisible by 64, forall n in N .

Prove that x^n-y^n is divisible by x - y for all positive integers n.

Using the principle of Mathematical Induction, show that 2.4^(2n+1)+3^(3n+1) is divisible by 11, forall n in N

AA n in N, 49^(n) + 16n -1 is divisible by

Using binomial theorem, prove that 5^(4n)+52n-1 is divisible by 676 for all positive integers n.

Using binomial theorem, prove that 50^(n)-49n-1 is divisible by 49^(2) for all positive integers n.

Prove that 2^(n) gt n for all positive integers n.