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geometric series

American  

noun

Mathematics.
  1. an infinite series of the form, c + cx + cx 2 + cx 3 + …, where c and x are real numbers.

  2. geometric progression.


geometric series British  

noun

  1. a geometric progression written as a sum, as in 1 + 2 + 4 + 8

"Collins English Dictionary — Complete & Unabridged" 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

Etymology

Origin of geometric series

First recorded in 1830–40

Example Sentences

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That Davis exhibited but ultimately painted over the other two works in his geometric series might suggest some dissatisfaction with their admittedly obscure nature.

From Los Angeles Times Jun. 16, 2025

TRY IT : : 12.53 Find the sum of the infinite geometric series 48 + 24 + 12 + 6 + 3 + 3 + …

From Textbooks May 6, 2020

We will use geometric series in the next chapter to write certain functions as polynomials with an infinite number of terms.

From Textbooks Mar. 30, 2016

In general, when does a geometric series converge?

From Textbooks Mar. 30, 2016

Over the next two hours we submerge ourselves in finding the sums of infinite geometric series, calculating iterate functions, and expanding powers of binomials.

From "The Running Dream" by Wendelin Van Draanen

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