(b)`P(n):5^(2n+2)-24n-25` is divisible by 576,then `P(0)=………..`

(b) P(n):7^n-3^n is divisible by 4,then find P(2) .

(a) P(n):n(n+1)(n+2) is divisible by 6,then find P(3) .

If n is a positive integer then 5^(2n+2)-24n-25 is divisible by

(a) P(n):5^n-1 is an integral multiple of 5,then P(5)=……..

Given P(n):3^(2n) -1 is divisible by 8 Check whether P(1) is true.

Given P(n):3^(2n) 1 is divisible by 8. Is the statement P(n) true for all natural numbers? Justify your answer.

Consider the statement P(n)=3^(2n+2)-8n-9 is divisible by 8 Verify the statement for n=1.

Consider the statement P(n):2^(3n) -1 is divisible by 7 Is the statement p(1) true? justify your answer

Consider the statement P(n)=3^(2n+2)-8n-9 is divisible by 8 Prove the statement using the principle of mathematical induction for all natural numbers.

Consider the statement P(n):n(n+1)(2n+1) is divisible by 6. By assume that P(k) is true for a natural number k, Verify that P(k+1) is true.