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1953 AMC 12 Question 25

AMC12 · 1953 AMC 12

Question 25

In a geometric progression whose terms are positive, any term is equal to the sum of the next two following terms. Then the common ratio is:
  1. $1$
  2. about $\dfrac{\sqrt5}{2}$
  3. $\dfrac{\sqrt5-1}{2}$
  4. $\dfrac{1-\sqrt5}{2}$
  5. $\dfrac2{\sqrt5}$