geometric series
noun Date: circa 1909 a series (as 1 + x + x2 + x3 +…) whose terms form a geometric progression

New Collegiate Dictionary. 2001.

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  • Geometric series — In mathematics, a geometric series is a series with a constant ratio between successive terms. For example, the series:frac{1}{2} ,+, frac{1}{4} ,+, frac{1}{8} ,+, frac{1}{16} ,+, cdotsis geometric, because each term is equal to half of the… …   Wikipedia

  • geometric series — noun a geometric progression written as a sum • Hypernyms: ↑series * * * geoˌmetric proˈgression [geometric progression] (also geoˌmetric ˈseries) …   Useful english dictionary

  • geometric series — Math. 1. an infinite series of the form, c + cx + cx2 + cx3 + ..., where c and x are real numbers. 2. See geometric progression. [1830 40] * * * …   Universalium

  • geometric series — noun Infinite series whose terms are in a geometric progression …   Wiktionary

  • geometric series — ge′omet′ric se′ries n. 1) math. an infinite series of the form, c+cx+cx2+cx3+…, where c and x are real numbers 2) math. geometric progression …   From formal English to slang

  • geometric series — /dʒiəˌmɛtrɪk ˈsɪəriz/ (say jeeuh.metrik searreez) noun an infinite series of the form c + cx + cx2 + cx3… where both c and x are real or complex numbers …   Australian English dictionary

  • Divergent geometric series — In mathematics, an infinite geometric series of the form is divergent if and only if | r | ≥ 1. Methods for summation of divergent series are sometimes useful, and usually evaluate divergent geometric series to a sum that… …   Wikipedia

  • geometric progression — (also geometric series) ► NOUN ▪ a sequence of numbers with a constant ratio between each number and the one before (e.g. 1, 3, 9, 27, 81) …   English terms dictionary

  • Geometric progression — In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed non zero number called the common ratio . For example, the… …   Wikipedia

  • Series (mathematics) — A series is the sum of the terms of a sequence. Finite sequences and series have defined first and last terms, whereas infinite sequences and series continue indefinitely.[1] In mathematics, given an infinite sequence of numbers { an } …   Wikipedia

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