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periodic seq

Source: RS2004

March 20, 2005
modular arithmeticfunctionarithmetic sequencenumber theory proposednumber theory

Problem Statement

Given a sequence (an)(a_n) of real numbers such that the set {an}\{a_n\} is finite. If for every k>1k>1 subsequence (akn)(a_{kn}) is periodic, is it true that the sequence (an)(a_n) must be periodic?
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