Question 46
Let $n$ be any positive integer. Prove that
$$
\sum_{i=1}^{n} \frac{1}{\left(i^{2}+i\right)^{3 / 4}} \gt 2-\frac{2}{\sqrt{n+1}}
$$
$$
\sum_{i=1}^{n} \frac{1}{\left(i^{2}+i\right)^{3 / 4}} \gt 2-\frac{2}{\sqrt{n+1}}
$$
MathNet 2016-part-03 — 184 problems (EN–VI) Question 46
Math Olympiad Vault · MathNet 2016-part-03 — 184 problems (EN–VI)