bY PMI prove n(n+1)(2n+1) is divisible by 6 - Maths - Principle of Mathematical Induction

Question

bY PMI prove n(n+1)(2n+1) is divisible by 6

Vipin Verma · Accepted Answer

Let the given statement be P(n) i e ,

For n = 1, we have

Let P(k) be true for some positive integer k, i e

We shall now prove that P(k + 1) is true

∴ P(k) is true ⇒ P(k + 1) is true Hence, by the principle of mathematical induction, statement P(n) is true for all natural numbers n