Consider the statement P(n): `n^(2) ge 100`. Here, `P(n) Rightarrow P(n+1)` for all n. Does it means that

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

A student was asked to prove a statement P(n) by using the principle of mathematical induction. He proved that P(n) Rightarrow P(n+1) for all n in N and also that P(4) is true: On the basis of the above he can conclude that P(n) is true.

A student was asked to prove a statement P(n) by using the principle of mathematical induction. He proved that P(n) Rightarrow P(n+1) for all n in N and also that P(4) is true: On the basis of the above he can conclude that P(n) is true.

Let P(n): n^(2)+n is odd. Then P(n) Rightarrow P(n+1) for all n in NN and P(1) is not true. From here, we can conclude that:

Let P(n): n^(2)+n is odd, then P(n) Rightarrow P(n+1) for all n. and P(1) is not true. From here, we can conclude that

Let P(n) be a statement and let P(n) Rightarrow P(n+1) for all natural number n, then P(n) is true.

Let P(n) be a statement and let P(n) Rightarrow P(n+1) for all natural number n, then P(n) is true.

Consider the statement P(n):n(n+1)(2n+1) is divisible by 6. Verify the statement for n=2.

Let P(n) be the statement : n^(2) +n is even Is P(n) true for all ninN ?

Let P(n) be a statement such that P(n) Rightarrow P(n+1) for all n in NN . Also, if P(k) is true, k in N , then we can conclude that.-