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4

Part of 2006 Bosnia and Herzegovina Team Selection Test

Problems(1)

Geometric progression in arithmetic sequence

Source: Bosnia and Herzegovina TST 2006 day 2 problem 1

7/14/2016
Prove that every infinite arithmetic progression aa, a+da+d, a+2da+2d,... where aa and dd are positive integers, contains infinte geometric progression bb, bqbq, bq2bq^2,... where bb and qq are also positive integers
algebrageometric sequencearithmetic sequence