Series

Series is the sum of the elements of the Sequence. For example $2,4,6,8$ is a sequence with four elements and the corresponding series will be $2+4+6+8$ where the sum of the series or value of the series will be 20.

Difference Between Sequence and Series

Sequence	Series
In sequence, elements are placed in a particular order following a particular set of rules.	In series, the order of the elements is not necessary.
It is just a collection (set) of elements that follow a pattern.	It is a sum of elements that follow a pattern.
Order of appearance of the numbers is important.	The order of appearance is not important.
Example: Arithmetic Sequence $1,3,5,7,9,11,13,15$	Example: Arithmetic Series $1+3+5+7+9+11+13+15$

Types of Series

Arithmetic Series

An Arithmetic Series is a series formed by using an arithmetic sequence. for example $1+3+5+7+9+11+13+15$ is an arithmetic series.

The arithmetic series is represented by a + (a+d) + (a+2d) + (a+3d) + …a$a+(a+d)+(a+2d).......$

Geometric Series

An Geometric Series is a series formed by using an geometric sequence. for example $1+2+4+8+16+32$ is a geometric series.

The geometric series is represented by$a+ar+ar^{2}......$