MathDB

A1

Part of 1953 Putnam

Problems(1)

Putnam 1953 A1

Source: Putnam 1953

7/16/2022
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}.
PutnamInequalitysquare root