Answer: Prove each of the statements in 1017 by mathematical induction
Chapter 5, Problem 12(choose chapter or problem)
Prove each of the statements in 10–17 by mathematical induction.
\(\frac{1}{1 \cdot 2}+\frac{1}{2 \cdot 3}+\cdots+\frac{1}{n(n+1)}=\frac{n}{n+1}\), for all integers n ≥ 1.
Text Transcription:
1 / 1 cdot 2 + 1 / 2 cdot 3+ cdots + 1 / n(n+1) = n / n+1
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