Arithmetic Series

An arithmetic series is a series whose related sequence is arithmetic.  It results from adding the terms of an arithmetic sequence.

Example 1:

Finite arithmetic sequence       : 5, 10, 15, 20, 25, ··· , 200

Related finite arithmetic series : 5 + 10 + 15 + 20 + 25 + ··· + 200

Written in sigma notation        :

Example 2:

Infinite arithmetic sequence: 3, 7, 11, 15, 19, ···

Related infinite arithmetic series: 3 + 7 + 11 + 15 + 19 + ···

Written in sigma notation: