A Harmonic Block Bound

★ 7/10sequences Estimation Telescoping inequality

Problem

Prove that for every $n \in \mathbb{N}^*$ ,

\frac{1}{n+1} + \frac{1}{n+2} + \cdots + \frac{1}{3n+1} < \frac{11}{10}.

Answer

Solution

Difficulty	7/10
Topics	sequences, Estimation, Telescoping, inequality

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