Answer: Prove each of the statements in 1017 by mathematical induction

Chapter 5, Problem 13

(choose chapter or problem)

Prove each of the statements in 10–17 by mathematical induction.

\(\sum_{i=1}^{n-1} i(i+1)=\frac{n(n-1)(n+1)}{3}\), for all integers n ≥ 2.

Text Transcription:

sum_i=1^n-1 i(i+1) = n(n-1)(n+1) / 3

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