infinite series

American  

noun

Mathematics.

1. a sequence of numbers in which an infinite number of terms are added successively in a given pattern; the sequence of partial sums of a given sequence.

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Etymology

Origin of infinite series

First recorded in 1790–1800

Example Sentences

The sum of the infinite series is defined.

From Textbooks • Dec. 21, 2021

Instead, the value of an infinite series is defined in terms of the limit of partial sums.

From Textbooks • Mar. 30, 2016

In addition, infinite series are used to solve differential equations that model physical behavior, from tiny electronic circuits to Earth- orbiting satellites.

From Textbooks • Mar. 30, 2016

Consequently, the infinite series diverges for r = 1.

From Textbooks • Mar. 30, 2016

He demonstrated the exercises of the great acting teacher Stanislavsky, he imitated Charlie Chaplin’s funny walk, and when he was reading about calculus, he explained Zeno’s paradox and the infinite series.

From "Red Scarf Girl: A Memoir of the Cultural Revolution" by Ji-li Jiang