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MathNet 2021 — Part 08 Question 59

Math Olympiad Vault · MathNet 2021 — Part 08

Question 59

For some integer $x$, the finite sequence $\sqrt{x}+2$, $3\sqrt{x+1}$, $2\sqrt{x}+4$ is geometric. What is its common ratio?
  1. $2$
  2. $\sqrt3$
  3. $\sqrt2$
  4. $3$
  5. $3\sqrt2$