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1975 AMC 12 Question 16

AMC12 · 1975 AMC 12

Question 16

If the first term of an infinite geometric series is a positive integer, the common ratio is the reciprocal of a positive integer, and the sum of the series is $3,$ then the sum of the first two terms of the series is
  1. $\frac13$
  2. $\frac23$
  3. $\frac83$
  4. $2$
  5. $\frac92$