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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

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

The sum of the infinite series is defined.

From Textbooks • Dec. 21, 2021

Each of the following infinite series converges to the given multiple of π or 1/π.

From Textbooks • Mar. 30, 2016

Consequently, the infinite series diverges for r = 1.

From Textbooks • Mar. 30, 2016

In fact, an infinite series whose terms involve powers of a variable is a powerful tool that we can use to express functions as “infinite polynomials.”

From Textbooks • Mar. 30, 2016

The terms in the infinite series didn’t have a limit or a destination; they seemed to get smaller and smaller without any particular end in sight.

From "Zero: The Biography of a Dangerous Idea" by Charles Seife

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