Arithmetic

Adding the terms of a sequence is required to solve many applications of sequences. The sum of the terms of a sequence is called a series. An arithmetic series is the sum of the terms of an arithmetic sequence. For example, the sum of the first five terms of an arithmetic sequence is represented by:

S5 = a1 + a2 + a3 + a4 + a5

In general, the sum of the first n terms of an arithmetic sequence is represented by:

Sn = a1 + a2 + a3 + a4 + ... + an