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TheRealSpartacus
2018-11-10 06:47:01 -08:00
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guide/english/mathematics/sigma-notation/index.md
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@ -3,13 +3,36 @@ title: Sigma Notation
---
## Sigma Notation
This is a stub. <a href='https://github.com/freecodecamp/guides/tree/master/src/pages/mathematics/sigma-notation/index.md' target='_blank' rel='nofollow'>Help our community expand it</a>.
Sigma Notation is a mathematical shorthand for representing large sums.
<a href='https://github.com/freecodecamp/guides/blob/master/README.md' target='_blank' rel='nofollow'>This quick style guide will help ensure your pull request gets accepted</a>.
Sigma Notation is as follows
![alt text](https://github.com/TheRealSpartacus/sources/blob/master/SiGma.PNG "Sigma Notation")
<!-- The article goes here, in GitHub-flavored Markdown. Feel free to add YouTube videos, images, and CodePen/JSBin embeds -->
where *n* is the lower limit *k* is the upper limit and *a<sub>n</sub>* is the function you are summating
To evaluate a sum in Sigma notation, you first plug in all integers from the *n* to *k* to *a<sub>n</sub>*, then add up all the results.
For example :
![alt text](https://github.com/TheRealSpartacus/sources/blob/master/Sigma%20Fig%201.PNG "Fig. 1")
First, you plug all integers from *n* to *k* into *a<sub>n</sub>* :
![alt text](https://github.com/TheRealSpartacus/sources/blob/master/Sigma%20Fig%202.PNG "Fig. 2")
Second, you evaluate all instances of *a<sub>n</sub>* :
![alt text](https://github.com/TheRealSpartacus/sources/blob/master/Sigma%20Fig%203.PNG "Fig. 3")
Last, you add all the results up, leaving you with the value of the sigma :
![alt text](https://github.com/TheRealSpartacus/sources/blob/master/Sigma%20Fig%204.PNG "Fig. 4")
#### More Information:
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" target="_blank"><img src="http://img.youtube.com/vi/5jwXThH6fg4/0.jpg"
alt="IMAGE ALT TEXT HERE" width="240" height="180" border="10" /></a>