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MathNet 2022-part-06 — 196 problems (EN–VI) Question 57

Math Olympiad Vault · MathNet 2022-part-06 — 196 problems (EN–VI)

Question 57

A sequence that starts with a positive number has the property that each of the following terms is the perimeter of the square with area equal to the preceding term. If the first three terms form an arithmetic sequence, what are the possible values for the first term of the sequence? (Having a common difference of 0 is allowed.)