Series

A series is a group of similar things that are all related to the same topic.

In mathematics, a series is the adding of a sequence, a list of (usually never-ending) mathematical objects (such as numbers). It is sometimes written as , which is another way of writing .

For example, the series  corresponds to the following sum:

Here, the dots mean that the adding does not have a last term, but goes on to infinity. 

If the result of the addition gets closer and closer to a certain limit value, then this is the sum of the series. For example, the first few terms of the above series are: 


From these, we can see that this series will have 2 as its sum.  

However, not all series have a sum. For example. a series can go to positive or negative infinity, or just go up and down without settling on any particular value. In which case, the series is said to diverge. The harmonic series is an example of a series which diverges.

 Related pages 
 List of mathematical series
 Sequence
 Series acceleration
 Taylor series

 References 

Category:Sequences and series