Sequence
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
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
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