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# Difference Between Sequence and Series

May 6, 2023
written by Azhar Ejaz

The key difference between sequence and series, Sequences are lists of numbers or other mathematical objects that follow a particular pattern or rule. And series is the sum of the terms in a sequence.

In this article we will discuss the difference between sequence and series along with separate discussion on both of them.

Table of Contents

## Sequence

A sequence is a list of numbers or other mathematical objects that follow a particular pattern or rule. Each object in the list is called a term.

Example

• The sequence of even numbers (2, 4, 6, 8, 10, …) is a list of numbers that follow the rule “add 2 to the previous term to get the next term.”
• The sequence of even numbers (2, 4, 6, 8, …) follows the rule that each term is 2 more than the previous term.

## Series

A series is the sum of the terms in a sequence.

Example

• The series 2 + 4 + 6 + 8 + … is the sum of the terms in the even number sequence.
• The series 2 + 4 + 6 + 8 + … is the sum of the terms in the even number sequence.

## Sequence vs Series

The differences between sequence and series are given below:

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