Theory 1

A series is an infinite sum that is created by successive additions without end. The terms are not added up “all at once” but rather they are added up “as increases” or “as .”

Three of the most famous series are the Leibniz series and the geometric series:


Partial sum sequence of a series

The partial sum sequence of a series is the sequence whose terms are the sums up to the given index:

These terms themselves form a sequence: