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 Determine all nonnegative integers \(r\) such that it is possible for an infinite geometric sequence to contain exactly \(r\) terms that are integers. Prove your answer.

 Jun 5, 2019
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S = F/ [1 - R], where S = sum of infinite series, F = First term, R = Common ratio

S = 4 / [1 - 6/7]

S = 4 / (1/7)

S = 4 x 7

S = 28 =7 + 6 + 5 + 4 + 3 + 2 + 1 + 0

 Jun 6, 2019

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