(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) .

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

Consider the statement P(n):7^n-3^n is divisible by 4. Show that P(1) is true.

Consider the statement P(n):7^n-3^n is divisible by 4. Verify, by the method of mathematical induction, that P(n) is true for all natural numbers.

For all nge1 , prove that p(n):2.7^n+3.5^n-5 is divisible by 24.

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):x^n-y^n is divisible by x-y ''. Show that P(1) is true.

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

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

If 9^(7)-7^(9) is divisible by 2^(n) , then find the greatest value of n, where n in N .