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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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See Examples For:

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

An interesting use of infinite geometric series is to write a repeating decimal as a fraction.

From Textbooks ● May 6, 2020

In your own words, explain the difference between a geometric sequence and a geometric series.

From Textbooks ● May 6, 2020

This situation continues and so leads us to an infinite geometric series.

From Textbooks ● May 6, 2020

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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