Question

what is the difference between sequence and series

Answer 1

The list of numbers written in a definite order is called a sequence. The sum of terms of an infinite sequence is called an infinite series. A sequence can be defined as a function whose domain is the set of Natural numbers. Therefore sequence is an ordered list of numbers and series is the sum of a list of numbers.

Example of a sequence:

 

2, 4, 6, 8, 10 …

 

Now if we add them up:

 

2+4+8+10+ …

 

This is a series.