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MathNet 2018-part-02 — 181 problems (EN–VI) Question 85

Math Olympiad Vault · MathNet 2018-part-02 — 181 problems (EN–VI)

Question 85

Let $n$ be a positive integer. Prove that
$$
\frac{1}{n+1} + \frac{1}{n+2} + \dots + \frac{1}{3n+1} \gt 1.
$$