∑|a_n|

Definition

The series ∑|a_n| represents the sum of the absolute values of each term in a given sequence. This notation is used to emphasize taking only positive terms into account for convergence analysis.

Related terms

Absolute Value Function:

A mathematical function denoted as |x|. It returns the distance between x and zero on a number line.

Series Convergence Tests: Various methods used to determine if a given series converges or diverges based on different criteria.

Geometric Series:

A type of infinite series where each term is multiplied by a common ratio, such as 1/2, 1/3, 1/4, etc.