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

(n!)^(2) gt n^(n) is true for

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

The statement 2^(n) ge n^(2) (where n in N) is true for

The statement 2^(n) ge n^(2) (where n in N) is true for

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

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

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 : 2^(n)gt3n . IF P(m) is true, show that, P(m+1) is true. Do you conclude that, P(n) is true for all ninNN ?