TOT 2000 Spring OS4 sum of first 10n + 1 successive numbers is negative
Source:
May 11, 2020
SequenceSumalgebra
Problem Statement
(a) Does there exist an infinite sequence of real numbers such that the sum of every ten successive numbers is positive, while for every the sum of the first successive numbers is negative?
(b) Does there exist an infinite sequence of integers with the same properties?(AK Tolpygo)