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1970 AMC 12 Question 19

AMC12 · 1970 AMC 12

Question 19

The sum of an infinite geometric series with common ratio $r$ such that $|r|\lt1$ is $15,$ and the sum of the squares of the terms of this series is $45.$ The first term of the series is:
  1. $12$
  2. $10$
  3. $5$
  4. $3$
  5. $2$