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.

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geometric series British  

noun

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

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Etymology

Origin of geometric series

First recorded in 1830–40

Example Sentences

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

A geometric series is the sum of the terms in a geometric sequence.

From Textbooks • Dec. 21, 2021

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

From Textbooks • May 6, 2020

If |r| ≥ 1, the infinite geometric series does not have a sum.

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