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

If P(n) is the statement 2^ngeq3n , and if P(r) is true, prove that P(r+1) is true.

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

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

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

If P(n) be the statement 2^ngtn^n and if P(m) is true, show tht P(m+1) is also true

Consider the statement P(n): n^(2) ge 100 . Here, P(n) Rightarrow P(n+1) for all n . We can conclude that:

Let P(n) be the statement n(n + 1) (n + 2) is an integral multiple of 12, then which of the following is not true?

Let P(n) be the statement: 2^n >= 3n . If P(r) is true, show that P (r + 1) is true. Do you conclude that P(n) is true for all n in N

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

Consider the statement P(n): n^2 - n + 41 is prime. Them which of the following is true?