Geometric series
In mathematics, a geometric series is the sum of an infinite number of terms that have a constant ratio between successive terms. For example, the series is geometric, because each successive term can be obtained by multiplying the previous term by 1/2. In general, a geometric series is written as a + ar + ar2 + ar3 + ... , where a is the coefficient of each term and r is the common ratio between adjacent terms. Geometric series are among the simplest examples of infinite series and can serve as a basic introduction to Taylor series and Fourier series. Geometric series had an important role in the early development of calculus, are used throughout mathematics, and have important applications in physics, engineering, biology, economics, computer science, queueing theory, and finance.
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0.999...1/2 + 1/4 + 1/8 + 1/16 + ⋯1/2 − 1/4 + 1/8 − 1/16 + ⋯1/4 + 1/16 + 1/64 + 1/256 + ⋯1 + 1 + 1 + 1 + ⋯1 + 2 + 4 + 8 + ⋯1 − 2 + 3 − 4 + ⋯1 − 2 + 4 − 8 + ⋯Absorbing Markov chainAn Essay on the Principle of PopulationAnnual percentage rateArithmetico–geometric sequenceBanach algebraBeck's theorem (geometry)Bell seriesBernoulli's inequalityBinary numberBinomial theoremBody proportionsBorel summationBorn seriesBose–Einstein statisticsBrillouin and Langevin functionsCarl NeumannCauchy's integral formulaClosed-form expressionComplete homogeneous symmetric polynomialCompound interestConvergent seriesCraps principleCulture of GreeceCurtis Cooper (mathematician)Customer lifetime valueDigamma functionDirichlet kernelDiscrete Fourier transformDiscrete wavelet transformDistortion (optics)Divergent geometric series
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Geometric series
In mathematics, a geometric series is the sum of an infinite number of terms that have a constant ratio between successive terms. For example, the series is geometric, because each successive term can be obtained by multiplying the previous term by 1/2. In general, a geometric series is written as a + ar + ar2 + ar3 + ... , where a is the coefficient of each term and r is the common ratio between adjacent terms. Geometric series are among the simplest examples of infinite series and can serve as a basic introduction to Taylor series and Fourier series. Geometric series had an important role in the early development of calculus, are used throughout mathematics, and have important applications in physics, engineering, biology, economics, computer science, queueing theory, and finance.
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A série geométrica é a série q ...... a soma vale: (Veja somatório)
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Artikel ini berisi tentang der ...... ilmu komputer, , dan keuangan.
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Een meetkundige reeks in de wi ...... ken met een meetkundige reeks.
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Eine geometrische Reihe ist di ...... 4, 15⁄8, … mit dem Grenzwert .
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En matemàtiques, una sèrie geo ...... biologia, economia i finances.
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En matemáticas, una serie geom ...... de Taylor y series de Fourier.
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En mathématiques, la série géo ...... ons de l'inverse d'un élément.
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In matematica, una serie geome ...... termini successivi è costante.
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In mathematics, a geometric se ...... ce, whereas a series is a sum.
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Inom matematiken är en geometr ...... illiggande termer är konstant.
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p/g044290
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title
Geometric Series
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Geometric progression
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urlname
GeometricSeries
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InfiniteGeometricSeries
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A série geométrica é a série q ...... a soma vale: (Veja somatório)
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Artikel ini berisi tentang der ...... galikan suku sebelumnya oleh .
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Een meetkundige reeks in de wi ...... ste twee vergelijkingen geeft:
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Eine geometrische Reihe ist di ...... 4, 15⁄8, … mit dem Grenzwert .
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En matemàtiques, una sèrie geo ...... l·lustra en el següent dibuix:
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En matemáticas, una serie geom ...... de Taylor y series de Fourier.
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En mathématiques, la série géo ...... ons de l'inverse d'un élément.
@fr
In matematica, una serie geome ...... termini successivi è costante.
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In mathematics, a geometric se ...... queueing theory, and finance.
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Inom matematiken är en geometr ...... illiggande termer är konstant.
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Deret geometrik
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Geometric series
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Geometrische Reihe
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Geometrisk summa
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Meetkundige reeks
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Serie geometrica
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Serie geométrica
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Szereg geometryczny
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Sèrie geomètrica
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Série geométrica
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