olymmath

AIME 2005b Problem 3

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An infinite geometric series has sum 2005. A new series, obtained by squaring each term of the original series, has 10 times the sum of the original series. The common ratio of the original series is mn\frac mn where mm and nn are relatively prime integers. Find m+n.m+n.

Dataset text AIME 1983 to 2026. Quoted with source.

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