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geometric series

American

noun

Mathematics.

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

geometric series British

noun

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

How is finding the sum of an infinite geometric series different from finding the partial sum?

From Textbooks • Sep. 23, 2020

We use the formula for the sum on an infinite geometric series.

From Textbooks • May 6, 2020

In your own words, explain how to determine if an infinite geometric series has a sum and how to find it.

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

Definitions and idiom definitions from Dictionary.com Unabridged, based on the Random House Unabridged Dictionary, © Random House, Inc. 2023