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
: