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

Chapter 5, Problem 14

(choose chapter or problem)

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

\(\sum_{i=1}^{n+1} i \cdot 2^{i}=n \cdot 2^{n+2}+2\), for all integers n ≥ 0.

Text Transcription:

sum_i=1^n+1 i cdot 2^i=n cdot 2^n+2+2

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