HMMT November 2023 H1
- Theme
- Answer
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.
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{1}{5}
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