A student was asked to prove a statement by induction. He proved (i) \( P(5) \) is true and (ii)...

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A student was asked to prove a statement by induction. He proved
(i) \( P(5) \) is true and
(ii) Truth of \( P(n) \Rightarrow \) truth of \( \mathrm{p}(n+1), n \in N \)
On the basis of this, he could conclude that \( P(n) \) is true for
(a) No \( n \in N \)
(b) All \( n \in N \)
(c) All \( n \geq 5 \)
(d) None of these
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