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(n) 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.

If P(n) is the statement 2^(n)>=3n, and if P(r) is true,prove that P(r+1) is true.

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

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

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

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

If P(n) is the statement ‘‘2^n ge n’’ , prove that P(r +1) is true whenever P(r) is true.