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MathNet 2023 — batch of 35 questions Question 11

Math Olympiad Vault · MathNet 2023 — batch of 35 questions

Question 11

Tyler has an infinite geometric series with sum $10$. He increases the first term of his sequence by $4$ and swiftly changes the subsequent terms so that the common ratio remains the same, creating a new geometric series with sum $15$. Compute the common ratio of Tyler's series.