Mathematics Atlas

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Sequence

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Discrete Points Approaching a Limit

An ordered list of mathematical objects, usually numbers, where repetition is allowed and order matters: the same three terms in a different order form a different sequence. Sequences are the basic input to the idea of a limit, and an infinite sequence that settles ever closer to one value is said to converge to it.

Cross-Tradition Connections

Associated With

Limit, Concepts
Series, Concepts

In Branch

Sources
Sequence (Wikipedia)
Wikimedia Foundationlead section
Quote, lead section
In mathematics, a sequence is a collection of objects possibly with repetition, that come in a specified order.
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Sequence (Wikipedia)
Wikimedia FoundationExamples and notation section
Quote, Examples and notation section
Sequences are useful in a number of mathematical disciplines for studying functions, spaces, and other mathematical structures using the convergence properties of sequences.
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Wolfram MathWorld
Wolfram Research, Inc.https://mathworld.wolfram.com/Sequence.html
Quote, https://mathworld.wolfram.com/Sequence.html
A sequence is an ordered set of mathematical objects.
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