olymmath

BALTIC-WAY 1990 Problem 4

    Prove that, for any real a1,a2,…,ana_{1}, a_{2}, \ldots, a_{n},

    ∑i,j=1naiaji+j−1≥0\sum_{i, j=1}^{n} \frac{a_{i} a_{j}}{i+j-1} \geq 0

    Dataset text NuminaMath olympiads. Quoted with source.

    Solutions

    No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

    Add a solution

    Locator baltic-way/1990/p4 · Tag BDZ8GYKM4M · Edit this page on GitHub · Keys: j next, k previous