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National High School Mathematics League
1992 National High School Mathematics League
13
A Very Old Problem
A Very Old Problem
Source: 1992 National High School Mathematics League, Exam One, Problem 13
February 27, 2020
Problem Statement
Prove that
16
<
∑
i
=
1
80
1
i
<
17
16<\sum_{i=1}^{80}\frac{1}{\sqrt{i}}<17
16
<
∑
i
=
1
80
i
1
<
17
.
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