NCERT Solution Class XI Mathematics Principle of Mathematical Induction Question 1 (Ex 4.1)

Question 1:

Prove the following by using the principle of mathematical induction for all n ∈ N:

Answer

Thus, P(k + 1) is true whenever P(k) is true.

Hence, by the principle of mathematical induction, statement P(n) is true for all natural numbers i.e., n.

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