Difference between revisions of "Sequence"
(→Convergence) |
m (→See Also) |
||
Line 17: | Line 17: | ||
* [[Arithmetic sequence]] | * [[Arithmetic sequence]] | ||
* [[Geometric sequence]] | * [[Geometric sequence]] | ||
− | * [[Bolzano-Weierstrass | + | * [[Bolzano-Weierstrass Theorem]] |
{{stub}} | {{stub}} |
Revision as of 13:37, 17 October 2012
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 defined on corresponds to the sequence .
Convergence
Intuitively, a sequence converges if its terms approach a particular number.
Formally, 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
See Also
This article is a stub. Help us out by expanding it.