What is the difference between a sequence and a series?

Solution:

Sequence: A sequence is a list of numbers that are written in a certain order. For example 2, 4, 6, 8, 10, … is a sequence of numbers with a common difference of 2. The order of numbers in a sequence is important. For example, 10, 8, 6, 4, 2 is different from 2, 4, 6, 8, 10.  

Series: Series is described as the sum of the sequence of numbers. For example, for the above sequence of numbers, the series can be written as  Sn = 2 + 4 + 6 + 8 + 10 + ...The order of series is not important since 2 + 4 + 6 is the same as 6 + 4 + 2. A series can be written using the sigma notation.

Thus, a sequence is a list of numbers in a certain order, whereas, series is the sum of the sequence.

What is the difference between a sequence and a series?

Summary:

A sequence is a list of numbers in a certain order, whereas, series is the sum of the sequence.