olymmath

Putnam 2000 A1

  • Session A

Let AA be a positive real number. What are the possible values of ∑j=0∞xj2\sum_{j=0}^\infty x_j^2, given that x0,x1,…x_0,x_1,\ldots are positive numbers for which ∑j=0∞xj=A\sum_{j=0}^\infty x_j=A?

Curated text Kedlaya Putnam archive. Quoted with source.

Solutions

Human solution Solution 1 by Manjul Bhargava, Kiran Kedlaya and Lenny Ng

The terms of the source let olymmath link to this solution but not copy it. Read the solution (Kedlaya Putnam archive).

Locator putnam/2000/a1 · Tag ZQVXTCW884 · Edit this page on GitHub · Keys: j next, k previous