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2007 AMC 12B Question 15

AMC12 · 2007 AMC 12B

Question 15

The geometric series $a+ar+ar^2+\cdots$ has a sum of $7,$ and the terms involving odd powers of $r$ have a sum of $3.$ What is $a+r?$
  1. $\dfrac{4}{3}$
  2. $\dfrac{12}{7}$
  3. $\dfrac{3}{2}$
  4. $\dfrac{7}{3}$
  5. $\dfrac{5}{2}$