# Definition:Harmonic Series/General

## Definition

Let $\sequence {x_n}$ be a sequence of numbers such that $\sequence {\size {x_n} }$ is a harmonic sequence.

Then the series defined as:

$\ds \sum_{n \mathop = 1}^\infty x_n$

is a harmonic series.

## Also see

• Results about harmonic series (particular and general) can be found here.