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MathNet 2018-part-04 — 181 problems (EN–VI) Question 48

Math Olympiad Vault · MathNet 2018-part-04 — 181 problems (EN–VI)

Question 48

The sum of the terms of an infinite geometric series is $2$ and the sum of the squares of the corresponding terms of this series is $6$. Find the sum of the cubes of the corresponding terms.