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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

What does this have to do with infinite series?

From Textbooks • Mar. 30, 2016

Determine whether the sum of the infinite series is defined.

From Textbooks • Feb. 13, 2015

It’s like Achilles and the tortoise—an infinite series of steps, each getting smaller and smaller.

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

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