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1/2 + 1/4 + 1/8 + 1/16 + ⋯. 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 ...
The Bell X-2 (nicknamed "Starbuster" [1]) was an X-plane research aircraft built to investigate flight characteristics in the Mach 2–3 range. The X-2 was a rocket-powered, swept-wing research aircraft developed jointly in 1945 by Bell Aircraft Corporation, the United States Air Force and the National Advisory Committee for Aeronautics (NACA) to explore aerodynamic problems of supersonic ...
1/4 + 1/16 + 1/64 + 1/256 + ⋯. Archimedes' figure with a = 3 4 . 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 ...
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. [12]
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.
1,1,2,2-Tetrachloroethane. 1,1,2,2-tetrachloroethane ( TeCA ), also known by the brand names Bonoform, Cellon and Westron, is an organic compound. It is colorless liquid and has a sweet odor. It is used as an industrial solvent and as a separation agent. TeCA is toxic and it can be inhaled, consumed or absorbed through the skin.
None. X-1 (or SS X-1) [1] was a United States Navy Midget Submarine designed under project SCB 65. Laid down on 8 June 1954, at Deer Park, Long Island, New York, by the Engine Division of Fairchild Engine and Airplane Corporation. Launched on 7 September 1955, at Oyster Bay, Long Island, by Jakobson Shipyard. Delivered to the Navy on 6 October ...
1,1,1,2-Tetrachloroethane can be obtained by a two-step addition reaction of acetylene with chlorine (via dichloroethene), but this mainly produces 1,1,2,2-tetrachloroethane. C 2 H 2 + Cl 2 → C 2 H 2 Cl 2 C 2 H 2 Cl 2 + Cl 2 → C 2 H 2 Cl 4. It can be obtained directly by chlorination of 1,1,2-trichloroethane: CHCl 2 −CH 2 Cl + Cl 2 → ...