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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.


Etymology

Origin of infinite series

First recorded in 1790–1800

Example Sentences

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Consequently, the infinite series diverges for r = 1.

From Textbooks • Mar. 30, 2016

To answer these questions, we need to introduce the concept of an infinite series, a sum with infinitely many terms.

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

An infinite series is the sum of the terms of an infinite sequence.

From Textbooks • Feb. 13, 2015

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

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