If `P(n)` is the statement `n(n+1)` is even then what about P(6)?

If P(n) is the statement '4n<2^n'(iii)If P(K) is true,show that P(K+1) is true for Kge5 .

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

If P(n) is the statement '4n<2^n'(ii)Can you say that P(n) will be true for all natural numbers?Give reason.

If P(n) is the statement 4n<2^n (i)Verify that P(1),P(2),P(3),P(4) and P(5) are true.

Let P(n) denotes the statement 10^(2n-1)+1 is divisible by 11. If P(m) is true, prove that P(m+1) is also true.

Let P(n) denotes the statement 2^n gt n and if P(n) is true, show that P(n+1) is also true

Let P(n) be the statement "n+3" is prime. Is P(3) true? What is your opinion when n=4?

Let P(n) denotes the statement n^3+(n+1)^3+(n+2)^3 is a multiple of 9 Prove that P(1) is true

Let P(n) denotes the statement 2^(n+3) le (n+3)! Are P(1) and P(2) true? Justify your answer.

Let P(n) denotes the statement n^3+(n+1)^3+(n+2)^3 is a multiple of 9 If P(k) is true, prove that P(k+1) is also true