The statement true for `N_(3)^(-)` is

Let P(n) be the statement: " n^(3)+n is divisible by 3." i. Prove that P(3) is true. ii. Verify whether the statement is true for n = 4.

The statement i.e. (n+3)^(2) gt 2^(n+3) is true.

The statement i.e. (n+3)^(2) gt 2^(n+3) is true.

Let P(n) : n(n+1)(n+2) is divisible by 6. Determine whether the statement is true or false, when n=3 and n=5. Justify your answer.

If P (n) is the statement : "n (n + 1) (n + 2) is divisible by 12”, prove that P(3) and P(4) are true, but P(5) is not true.

The statement n! gt 2^(n-1), n in N is true for

The statement n! gt 2^(n-1), n in N is true for

Let P(n) be the statement "3^n > n" . If P(n) is true, P(n+1) is also true.