Prove each of the statements in 1017 by mathematical induction
Chapter 5, Problem 17(choose chapter or problem)
Prove each of the statements in 10–17 by mathematical induction.
\(\prod_{i=0}^{n}\left(\frac{1}{2 i+1} \cdot \frac{1}{2 i+2}\right)=\frac{1}{(2 n+2) !}\), for all integers n ≥ 0.
Text Transcription:
prod_i=0^n (1 / 2 i+1 cdot 1 / 2 i+2) = 1 / (2 n+2) !
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