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India Pre-Regional Mathematical Olympiad
2019 India PRMO
22
Telescoping Sum
Telescoping Sum
Source:
August 11, 2019
telescoping sums
Problem Statement
What is the greatest integer not exceeding the sum
∑
n
=
1
1599
1
n
\sum^{1599}_{n=1} \dfrac{1}{\sqrt{n}}
∑
n
=
1
1599
n
1
?
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