freeCodeCamp/guide/english/mathematics/arithmetic-series/index.md

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2018-10-12 19:37:13 +00:00
---
title: Arithmetic Series
---
## Arithmetic Series
An arithmetic series is the sum of all terms in an arithmetic sequence.
If n is the total number of terms in the sequence, a<sub>1</sub> is the value of the first term in the sequence, and a<sub>k</sub> is the value of the last term in the sequence, the sum of the sequence will be equal to:
![arithmetic series equation](https://github.com/Zoonn123/resources/blob/master/arithmeticserieshacktoberfestedit.png)