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Math Help - Find the sum of the given arithmetic series

  1. #1
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    Find the sum of the given arithmetic series

    Find the sum of the given arithmetic series. Do not just add, you must use the formula
    \sum_{i=1}^6\left( \frac{-5}{2}i+3\right)


    What formula is used and how do I start this. I never seen this type of example as I only seen whole numbers used.
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  2. #2
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    Quote Originally Posted by ToXic01 View Post
    Find the sum of the given arithmetic series. Do not just add, you must use the formula
    6 Sigma ((-5/2)+3) <br />
i=1

    What formula is used and how do I start this. I never seen this type of example as I only seen whole numbers used.
    Is this your equation \sum_{i=1}^6\left( \frac{-5}{2}+3\right)i = 1 ??
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  3. #3
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    I fixed the problem
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  4. #4
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    Go from 1 to 6

    \left( \frac{-5}{2}{\color{red}\times 1}+3\right)+\left( \frac{-5}{2}{\color{red}\times 2}+3\right)+\dots+\left( \frac{-5}{2}{\color{red}\times 6}+3\right)

    You got it?




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  5. #5
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    Yeah i know that process but I am not allowed to just add. The question wants me to use the formula. Thanks
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  6. #6
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    it is a very easy and simple issue
    you just have to use the formula : the sum=number of terms over 2 times ("open brackets first term+last term)
    here it is 6/2[1/2+(-12)]=-69/2
    you are most welcomed
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