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Geometric series with modified terms

  1. Feb 22, 2013 #1
    I am looking for a way to sum some numbers. I understand that if I want to sum pi, I can use the geometric series:

    [itex]\sum\limits_{i=0}^N p^{i} = \frac{1-p^{N+1}}{1-p}[/itex]

    But can anyone help me with what to do when I need:

    [itex]\sum\limits_{i=0}^N p^{i} q^{ti}[/itex]

    where t is just a constant.

    Thank you in advance of any help!
  2. jcsd
  3. Feb 22, 2013 #2
    Let : [itex] P = p.q^{t}[/itex]
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