# geometric series

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geometric series
noun
a geometric progression written as a sum
Hypernyms: ↑series

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geoˌmetric proˈgression [geometric progression] (also geoˌmetric ˈseries)
a series of numbers in which each is multiplied or divided by a fixed number to produce the next, for example 1, 3, 9, 27, 81

Useful english dictionary. 2012.

### Look at other dictionaries:

• 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 Date: circa 1909 a series (as 1 + x + x2 + x3 +…) whose terms form a geometric progression …   New Collegiate 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. In mathematics, given an infinite sequence of numbers { an } …   Wikipedia