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

Chapter 5, Problem 11

(choose chapter or problem)

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

\(1^{3}+2^{3}+\cdots+n^{3}=\left[\frac{n(n+1)}{2}\right]^{2}\), for all integers n ≥ 1.

Text Transcription:

1^3 + 2^3 + cdots + n^3 = [n(n+1) / 2]^2

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