MathDB
TOT 490 1996 Spring J A3 sequence of 1996 reals

Source:

August 16, 2024
algebracombinatorics

Problem Statement

Prove that from any sequence of 19961996 real numbers a1a_1, a2a_2,......, a1996a_{1996} one can choose one or several numbers standing successively one after another so that their sum differs from an integer by less than 0.0010.001.
(A Kanel)