Question

What is principle of mathematical induction? Explain with the help of an example?

Answer 1

Therefore, by principle of mathematical induction the statement is true for every positive integer n. Example 5 Prove that (1 + x)n ≥ (1 + nx), for all natural number n, where x > – 1. Thus, the statement in (2) is established. Hence, by the principle of mathematical induction, P(n) is true for all natural numbers.