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Math Help - arithmetic series expressed in sigma notation

  1. #1
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    Smile arithmetic series expressed in sigma notation

    I know that an arithmetic series of n terms can be written :
    a + (a+d) + (a+2d) +...+ [a+(n-1)d] but I am not sure how to write it in sigma notation, I was thinking the lower limit would start at 1 but what about the upper limit? And since the sum of the integers is increasing each time would it be (n+1)? Could a formula be written in terms of a, d and n for the sum of this series that would make sense to me? What I am trying to say is can you explain it so I can understand it. I would appreciat it, I hope this makes sense to you, I don't know if this sounds logical, I am just trying to understand sums of series.
    Thank you!!!!!!!!!!
    Keith Stevens
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  2. #2
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    \sum\limits_{k = 0}^{n - 1} {\left( {a + kd} \right)} = \sum\limits_{k = 1}^n {\left( {a + \left( {k - 1} \right)d} \right)}
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  3. #3
    Junior Member
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    Smile an arithmetic series of n terms

    Thank you, I guess the light goes on a little slower for some than others, I am workin on speeding up the brain but sometime when I look at a problem or a question for a long period of time and do not understand, it is nice to have this forum to help make sense of it all.
    Thank you for your help!
    Keith Stevens
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