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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

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

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

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

From Textbooks • May 6, 2020

For a series that is similar to a geometric series or p − series, consider one of the comparison tests.

From Textbooks • Mar. 30, 2016

Determine whether each of the following geometric series converges or diverges, and if it converges, find its sum.

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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