Binomial Theorem And Its Simple Applications Question 74

Question: A student was asked to prove a statement P (n) by induction. He proved that $ P(k+1) $ is true whenever $ P(k) $ is true for all $ k>5\in N $ and also that P (5) is true. On the basis of this he could conclude that P(n) is true

Options:

A) For all $ n\in N $

B) For all $ n>5 $

C) For all $ n\ge 5 $

D) For all $ n<5 $

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Answer:

Correct Answer: C

Solution:

  • [c] Since $ P(5) $ is true and $ P(k+1) $ is true, whenever $ P(k) $ is true.