Question 9
Let $a_n$ be the nearest integer to $\sqrt{n}$. Find
$$
\frac{1}{a_1} + \frac{1}{a_2} + \ldots + \frac{1}{a_{1980}}.
$$
$$
\frac{1}{a_1} + \frac{1}{a_2} + \ldots + \frac{1}{a_{1980}}.
$$
MathNet 1978 — Part 01 Question 9
Math Olympiad Vault · MathNet 1978 — Part 01