Sequence
Revision as of 04:39, 23 February 2008 by Shreyas patankar (talk | contribs)
A sequence is an ordered list of terms. Sequences may be either finite or infinite. In mathematics we are often interested in sequences with specific properties, the Fibonacci sequence is perhaps the most famous example.
Contents
[hide]Definition
A sequence of real numbers is simply a function
The numbers are often denoted as and the set is denoted as the 'sequence'
Convergence
The notion of 'converging sequences' is often useful in real analysis
Let be a real valued sequence
Let
We say that ''
or ' converges to ' if and only if
, $\exists\M\in\mathbb{N}$ (Error compiling LaTeX. Unknown error_msg) such that
Resources
- Online Encyclopedia of Integer Sequences -- A really cool math tool.
See Also
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