Series
Overview
A series encapsulates the notion of a
countably infinite
sum.
Definition
A series is a
sequence
{% s_1,s_2,... %} constructed from a second sequence {% a_1, a_2, ... %} where
{% s_n = \sum_{i=1}^n a_i %}
Sum
The sum of a series, as defined above, is defined to be the
limit
of the series, {% s_1,s_2,... %}, if it exists.