MathDB
Putnam 1953 A1

Source: Putnam 1953

July 16, 2022
PutnamInequalitysquare root

Problem Statement

Prove that for every positive integer nn 23nn<1+2+…+n<4n+36n. \frac{2}{3} n \sqrt{n} < \sqrt{1} + \sqrt{2} +\ldots +\sqrt{n} < \frac{4n+3}{6} \sqrt{n}.
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