Convergent series

Definition

A convergent series is a series where the sum of all its terms exists and is finite. The terms in this type of series typically approach zero as n approaches infinity.

Related terms

Divergent series: A divergent series is one where the sum of all its terms does not exist or is infinite.

Geometric Series:

A special type of sequence where each term is found by multiplying or dividing by a constant ratio.

Harmonic Series:

A specific divergent geometric progression where each term is obtained by taking reciprocals.