AoPS Wiki:Problem of the Day/June 16, 2011
There exist rational numbers and such that the infinite geometric series with first term and common ratio converges to , while the series with first term and common ratio converges to . Find the value of .
There exist rational numbers and such that the infinite geometric series with first term and common ratio converges to , while the series with first term and common ratio converges to . Find the value of .
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