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

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

As long as we can rewrite the series in the form given by Equation 5.5, it is a geometric series.

From Textbooks • Mar. 30, 2016

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

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