Question 85
Let $n$ be a positive integer. Prove that
$$
\frac{1}{n+1} + \frac{1}{n+2} + \dots + \frac{1}{3n+1} \gt 1.
$$
$$
\frac{1}{n+1} + \frac{1}{n+2} + \dots + \frac{1}{3n+1} \gt 1.
$$
Math Olympiad Vault · MathNet 2018-part-02 — 181 problems (EN–VI)