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1/2 − 1/4 + 1/8 − 1/16 + ⋯. Demonstration that 1 2 − 1 4 + 1 8 − 1 16 + ⋯ = 1 3. In mathematics, the infinite series 1/2 − 1/4 + 1/8 − 1/16 + ⋯ is a simple example of an alternating series that converges absolutely . It is a geometric series whose first term is 1 2 and whose common ratio is − 1 2, so its sum is.
The idea becomes clearer by considering the general series 1 − 2x + 3x 2 − 4x 3 + 5x 4 − 6x 5 + &c. that arises while expanding the expression 1 ⁄ (1+x) 2, which this series is indeed equal to after we set x = 1.
e. The history of video games began in the 1950s and 1960s as computer scientists began designing simple games and simulations on minicomputers and mainframes. Spacewar! was developed by Massachusetts Institute of Technology (MIT) student hobbyists in 1962 as one of the first such games on a video display. The first consumer video game hardware ...
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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 ...
Just Words. If you love Scrabble, you'll love the wonderful word game fun of Just Words. Play Just Words free online! By Masque Publishing. Advertisement. Advertisement. Feedback. Help. Join AOL.
The Kenbak-1 is considered by the Computer History Museum, [ 2] the Computer Museum of America [ 3] and the American Computer Museum [ 4] to be the world's first "personal computer", [ 5] invented by John Blankenbaker (born 1929) of Kenbak Corporation in 1970 and first sold in early 1971. [ 6] Less than 50 machines were ever built, using Bud ...