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15th ibmo - venezuela 2000/q4.

Source: Spanish Communities

April 15, 2006
ratioarithmetic sequencegeometric sequencealgebra unsolvedalgebra

Problem Statement

From an infinite arithmetic progression 1,a1,a2,… 1,a_1,a_2,\dots of real numbers some terms are deleted, obtaining an infinite geometric progression 1,b1,b2,… 1,b_1,b_2,\dots whose ratio is q q. Find all the possible values of q q.
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