Y by GeoKing
EDIT: I apologize for reposting, please post your solutions in https://artofproblemsolving.com/community/c6h3549401_the_old_one_is_gone
Sorry for the misunderstanding.
An infinite increasing sequence
of positive integers is called central if for every positive integer
, the arithmetic mean of the first
terms of the sequence is equal to
. Show that there exists an infinite sequence
,
,
,
of positive integers such that for every central sequence
,
,
,
, there are infinitely many positive integers
with
.
Sorry for the misunderstanding.
An infinite increasing sequence














This post has been edited 2 times. Last edited by InterLoop, Apr 17, 2025, 12:25 PM