A student was asked to prove a statement by induction. He proved (i) P(5) is true and (ii) truth of P(n) => truth of P(n+1), n `in` N . On the basis of this, he could conclude that P(n) is true

Explanation

If P(a) is true and truth of P(n) implies that P(n+1) is also true, then, we can conclude that P(n) is true for all n≥a where n∈N.

Here,

P(5) is true.

Hence we can conclude that P(n) is true for all n≥5