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the numbers 1...100 be covered with 12 geom progressions

Source: All-Russian olympiad 1995, Grade 11, First Day, Problem 1

October 21, 2013
inequalitiesgeometric sequencenumber theory proposednumber theory

Problem Statement

Can the numbers 1,2,3,…,1001,2,3,\ldots,100 be covered with 1212 geometric progressions?
A. Golovanov
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