2018-10-12 19:37:13 +00:00
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---
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title: Sigma Notation
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---
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## Sigma Notation
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2018-11-10 14:47:01 +00:00
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Sigma Notation is a mathematical shorthand for representing large sums.
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2018-10-12 19:37:13 +00:00
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2018-11-10 14:47:01 +00:00
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Sigma Notation is as follows
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2018-10-12 19:37:13 +00:00
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2018-11-10 14:47:01 +00:00
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![alt text](https://github.com/TheRealSpartacus/sources/blob/master/SiGma.PNG "Sigma Notation")
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2018-10-12 19:37:13 +00:00
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<!-- The article goes here, in GitHub-flavored Markdown. Feel free to add YouTube videos, images, and CodePen/JSBin embeds -->
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2018-11-10 14:47:01 +00:00
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where *n* is the lower limit *k* is the upper limit and *a<sub>n</sub>* is the function you are summating
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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.
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For example :
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![alt text](https://github.com/TheRealSpartacus/sources/blob/master/Sigma%20Fig%201.PNG "Fig. 1")
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First, you plug all integers from *n* to *k* into *a<sub>n</sub>* :
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![alt text](https://github.com/TheRealSpartacus/sources/blob/master/Sigma%20Fig%202.PNG "Fig. 2")
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Second, you evaluate all instances of *a<sub>n</sub>* :
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![alt text](https://github.com/TheRealSpartacus/sources/blob/master/Sigma%20Fig%203.PNG "Fig. 3")
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Last, you add all the results up, leaving you with the value of the sigma :
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![alt text](https://github.com/TheRealSpartacus/sources/blob/master/Sigma%20Fig%204.PNG "Fig. 4")
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2018-10-12 19:37:13 +00:00
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#### More Information:
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<!-- Please add any articles you think might be helpful to read before writing the article -->
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2018-11-10 14:47:01 +00:00
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<a href="http://www.youtube.com/watch?feature=player_embedded&v=5jwXThH6fg4
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" target="_blank"><img src="http://img.youtube.com/vi/5jwXThH6fg4/0.jpg"
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alt="IMAGE ALT TEXT HERE" width="240" height="180" border="10" /></a>
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2018-10-12 19:37:13 +00:00
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