Solved: Prove each formula by mathematical induction. (You may need to review the method
Chapter 4, Problem 93(choose chapter or problem)
Prove each formula by mathematical induction. (You may need to review the method of proof by induction from a precalculus text.)
(a) \(\sum_{i=1}^{n} 2 i=n(n+1)\) (b) \(\sum_{i=1}^{n} i^{3}=\frac{n^{2}(n+1)^{2}}{4}\)
Text Transcription:
\sum_{i=1}^{n} 2 i=n(n+1)
\sum_{i=1}^{n} i^{3}=\frac{n^{2}(n+1)^{2}}{4}
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