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1/4 + 1/16 + 1/64 + 1/256 + ⋯
Infinite sum equal to 1/3 at its limit / From Wikipedia, the free encyclopedia
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In mathematics, the infinite series 1/4 + 1/16 + 1/64 + 1/256 + ⋯ is an example of one of the first infinite series to be summed in the history of mathematics; it was used by Archimedes circa 250–200 BC.[1] As it is a geometric series with first term 1/4 and common ratio 1/4, its sum is
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