Question

Using complete sentences, explain how sigma notation is connected to arithmetic sequences and series.

Answer 1

A sequence is a collection of numbers written in a definite order:
\[a _{1},a _{2}...a _{n}\]A series, s, is a sum of a sequence. Using sigma notation to indicate the process of addition, we have:\[s=\sum_{1}^{n}a _{n}=a _{1}+a _{2}...+a _{n}\]