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1994 AMC 12 Question 20

AMC12 · 1994 AMC 12

Question 20

Suppose $x,$ $y,$ $z$ is a geometric sequence with common ratio $r$ and $x\ne y.$ If $x,$ $2y,$ $3z$ is an arithmetic sequence, then $r$ is
  1. $\frac14$
  2. $\frac13$
  3. $\frac12$
  4. $2$
  5. $4$