NCERT Exemplar Solutions
Class 11 - Mathematics - Chapter 4 : PRINCIPLE OF MATHEMATICAL INDUCTION
True or False

State whether the following statement is true or false. Justify.

Question. 30

Let \(P(n)\) be a statement and let \(P(k) \Rightarrow P(k+1)\), for some natural number \(k\), then \(P(n)\) is true for all \(n \in \mathbb{N}\).

Answer:

False