Difference between revisions of "Sequence"
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− | A '''sequence''' is an ordered list of terms. Sequences may be either [[finite]] or [[infinite]] | + | A '''sequence''' is an ordered list of terms. Sequences may be either [[finite]] or [[infinite]]. |
==Definition== | ==Definition== |
Revision as of 11:54, 18 May 2008
A sequence is an ordered list of terms. Sequences may be either finite or infinite.
Contents
[hide]Definition
A sequence of real numbers is simply a function . For instance, the function corresponds to the sequence .
Convergence
Let be a sequence of reals. converges to if and only if for all positive reals , there exists a positive integer such that for all integers , we have . If converges to , is called the limit of and is written .
Resources
- Online Encyclopedia of Integer Sequences -- A really cool math tool.
See Also
This article is a stub. Help us out by expanding it.