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Math Help - Confusing series question

  1. #1
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    Confusing series question

    If -1<r<1 and S_n=\displaystyle \sum^n_{p=1} r^p find
    a) \displaystyle \lim_{n\rightarrow\infty} S_n
    b) \displaystyle \sum^{\infty}_{n=1}nr^n
    c) \displaystyle \sum^n_{q=1} S_q

    I have done the first two correctly, but I have no idea what the third one means. This is the entire question.
    Thanks for any help.
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  2. #2
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    \displaystyle \sum^n_{q=1} S_q = \displaystyle \sum^n_{q=1} \sum^q_{p=1} r^p

    I'm sure you can do the sum now!
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