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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. The series is related to philosophical questions considered in antiquity, particularly ...
Grandi's series. In mathematics, the infinite series 1 − 1 + 1 − 1 + ⋯, also written. is sometimes called Grandi's series, after Italian mathematician, philosopher, and priest Guido Grandi, who gave a memorable treatment of the series in 1703. It is a divergent series, meaning that it does not have a sum. However, it can be manipulated to ...
Wimbledon. 3R ( 2015) US Open. QF ( 2011) Team competitions. Fed Cup. 6–10. Jarmila Wolfe [1] [2] (née Gajdošová, formerly Groth; born 26 April 1987) is a Slovak-Australian former tennis player. In her career, she won two singles titles and one doubles title on the WTA Tour, as well as 14 singles and ten doubles titles on the ITF Women's ...
A well-known equality featuring the equal sign. The equals sign ( British English) or equal sign ( American English ), also known as the equality sign, is the mathematical symbol =, which is used to indicate equality in some well-defined sense. [1] In an equation, it is placed between two expressions that have the same value, or for which one ...
The Equals are an English rock band. They are best remembered for their million-selling chart-topper " Baby, Come Back ", though they had several other chart hits in the UK and Europe. Drummer John Hall founded the group with Eddy Grant , Pat Lloyd and brothers Derv and Lincoln Gordon, and they were noted as being "the first major interracial ...
Pius Suter and Dakota Joshua scored 12 seconds apart in the third period and the Vancouver Canucks stormed back for a 4-2 win over the Nashville Predators in Game 1 of their first-round playoff ...
1/4 + 1/16 + 1/64 + 1/256 + ⋯. Archimedes' figure with = 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 with first term 1 4 and common ratio 1 4 ...
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.