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First six summands drawn as portions of a square. The geometric series on the real line. In mathematics, the infinite series 1 / 2 + 1 / 4 + 1 / 8 + 1 / 16 + ··· is an elementary example of a geometric series that converges absolutely. The sum of the series is 1. In summation notation, this may be expressed as
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A hit PC game typically sold about 250,000 disks at the time, while a hit console game typically sold about 1 million cartridges. [ 46 ] By spring 1994, an estimated 24 million US homes (27% of households) had a personal computer. 48% played games on their computer; 40% had the 486 CPU or higher; 35% had CD-ROM drives; and 20% had a sound card ...
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This series is one of the first to be summed in the history of mathematics; it was used by Archimedes circa 250–200 BC. The Euler transform of the divergent series 1 − 2 + 4 − 8 + ⋯ is 1 / 2 − 1 / 4 + 1 / 8 − 1 / 16 + ⋯. Therefore, even though the former series does not have a sum in the usual sense, it is Euler summable to 1 / 3 ...
Valve's logo. Valve is an American video game developer and publisher founded in 1996 by Gabe Newell and Mike Harrington. The company is based in Bellevue, Washington. [ 1] Valve's first game was Half-Life, a first-person shooter released in 1998. [ 2] It sold over nine million retail copies. [ 3][ 4] Alongside Half-Life ' s launch, Valve ...