Sigma notation

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Now Playing:Sigma notation – Example 1a
Examples
  1. Evaluate the following arithmetic series:
    1. i=110i\sum_{i=1}^{10}i

    2. i=153(i+1)\sum_{i=1}^{5}-3(i+1)

Arithmetic sequences
Notes
Don't you find it tiring when we express a series with many terms using numerous addition and/or subtraction signs? Don't you wish that we have something to symbolise this action? Well we have a solution, introducing the "Sigma Notation"! In this section, we will learn how to utilise the sigma notation to represent a series, as well as how to evaluate it.
i=1n\sum_{i=1}^n(an equation containing ii)

\sum : "Sigma"; summation of ithi^{th} term to nthn^{th} term
ii : index, a counter for the ithi^{th} term
nn : index of ending term