Prove that induction that the sum of the cubes of three consecutive numbers is divisible by g.

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written 2.1 years ago by

sagarkolekar ★ 11k

Prove that induction that the sum of the cubes of three consecutive numbers is divisible by g.

Solution: To show that $(n-1)^3 + n^3 (n+1)^3$ is divisible by 9.

Let p(n) = $(n-1)^3 n^3 + (n+1)^3$ be the given statement.

Step 1. Verification step.

put n = 1 in p(n) …

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