Difference between revisions of "Sequence"

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(New page: A '''sequence''' in mathematics is an ordered list, such as an ordered list of numbers. An example of a '''sequence''' is "2,4,6,8,10,..." A '''sequence''' differs from a set in ...)
 
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A '''sequence''' differs from a [[set]] in that the ordering of the objects (numbers) matters for a '''sequence''', but not for a [[set]].
 
A '''sequence''' differs from a [[set]] in that the ordering of the objects (numbers) matters for a '''sequence''', but not for a [[set]].
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A well-known sequence that demonstrates the importance of the order is the [[Fibonacci sequence]], which proceeds thus: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ... and so on, with each term being the sum of the two terms before it.
 
[[category:mathematics]]
 
[[category:mathematics]]

Revision as of 05:28, November 5, 2007

A sequence in mathematics is an ordered list, such as an ordered list of numbers. An example of a sequence is "2,4,6,8,10,..."

A sequence differs from a set in that the ordering of the objects (numbers) matters for a sequence, but not for a set.

A well-known sequence that demonstrates the importance of the order is the Fibonacci sequence, which proceeds thus: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ... and so on, with each term being the sum of the two terms before it.