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. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
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1. MacTutor History of Mathematics Archive
University of St Andrews, School of Mathematics and StatisticsHistTopics/Real_numbers_2 page, paragraph on Cauchy's Cours d'Analyse (1821) defining the product of a rational and an irrational numberQuote, HistTopics/Real_numbers_2 page, paragraph on Cauchy's Cours d'Analyse (1821) defining the product of a rational and an irrational number
Let b, b', b'', ... be a sequence of rationals approaching B closer and closer. Then the product AB will be the limit of the sequence of rational numbers Ab, Ab', Ab'', ...
Sequence (Wikipedia)
Wikimedia Foundationlead section
In mathematics, a sequence is a collection of objects possibly with repetition, that come in a specified order.
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.
View the Source Wolfram MathWorld
Wolfram Research, Inc.https://mathworld.wolfram.com/Sequence.htmlQuote, https://mathworld.wolfram.com/Sequence.html
A sequence is an ordered set of mathematical objects.
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