Let `P(n):n^2+n+1` is an even integer. If `P(k)` is assumed `true=>P(k+1)` is true. Therefore P(n) is true:

Given P(n):3^(2n) -1 is divisible by 8. If P(k) is true then prove P(k+1) is true.

If P(n) is a statement (n in N) such that if P(k) is true,P(k+1) is true for k in N, then P(k) is true.

Let P(n) :n^(2)+n is even.Is P(1) is true?

Let P(n) :n^(2) >9 . Is P(2) true?

Assertion: 1+2 + 3 + ... n = (n(n+1))/2 Reason: In a statement P(n), if P(l) is true and assuming P(k) and if we prove P(k + 1) is also true then P(n) is true for all value n, n is true integer

Let P (n) be the statement ''3^n >n'' . If P (n) is true, prove that P(n + 1) is true.

If P(n) is the statement n^(2)+n is even,and if P(r) is true then P(r+1) is true.

If P(n) is the statement n^2+n is even, and if P(r) is true then P(r+1) is true.