ASU 273 All Soviet Union MO 1979 x_1+x_4/2+x_9/3+...+x_n^2/n \le 1
Source:
July 14, 2019
Sequencealgebrainequalities
Problem Statement
For every n, the decreasing sequence {xk} satisfies a condition x1+x4/2+x9/3+...+xn2/n≤1
Prove that for every n, it also satisfies x1+x2/2+x3/3+...+xn/n≤3