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Proving a sum that contains complex numbers

  1. Oct 18, 2011 #1
    1. The problem statement, all variables and given/known data
    show that:

    attachment.php?attachmentid=40135&stc=1&d=1318953465.gif


    I tried changing the form to the sin and cos, but I couldn't complete it..

    Any hints?
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     

    Attached Files:

  2. jcsd
  3. Oct 18, 2011 #2

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    That's a geometric sequence. The sum of any geometric series is
    [tex]\sum_{n=0}^\infty r^n= \frac{1}{1- r}[/tex]

    Here, your r is [itex]e^{id}/2[/itex].
     
  4. Oct 18, 2011 #3
    aaaah!!

    thanks for the help!!!
     
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