A [[Series]] is $\sum a_{n}$ is absolutely [[Convergent Series|Convergent]] if the [[Series]] of [[Absolute Value|Absolute Values]] $\sum \left|a_{n}\right|$ is [[Convergent Series|Convergent]]. >[!abstract] Thereom > If $\sum a_{n}$ is [[Absolute Convergence|Absolutely Convergent]], then it is also [[Convergent Series|Convergent]]