freeCodeCamp/guide/english/mathematics/sigma-notation/index.md

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Sigma Notation

Sigma Notation

Sigma Notation is a mathematical shorthand for representing large sums.

Sigma Notation is as follows

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where n is the lower limit k is the upper limit and an 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 an, then add up all the results.

For example :

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First, you plug all integers from n to k into an :

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Second, you evaluate all instances of an :

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Last, you add all the results up, leaving you with the value of the sigma :

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