1. May 6, 2009 #1

   nameVoid

   

   the proof in my text starts with whats called a telescoping sum (1+i^3)-i^3 what is the relevence of this to i^2

    

   nameVoid, May 6, 2009
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3. May 6, 2009 #2

   Count Iblis

   

   a) Prove the formula for the partial geometric series:
   
   [tex]\sum_{k=0}^{n}x^{k}=\frac{1-x^{n+1}}{1-x}[/tex]
   
   
   Hint: Multiply both sides by 1-x.
   
   
   b) Substitute x = e^t in the formula for the partial geometric series.
   
   
   c) Perform a series expansion of both sides to second order in t.

    

   Count Iblis, May 6, 2009
4. May 6, 2009 #3

   Count Iblis

   

   Shouldn't that be (1+i)^3 - i^3?
   
   If you expand (i+1)^3, you see that i^3 cancels and then you get a combinaton of the summaton of i^2 and i and of 1.

    

   Count Iblis, May 6, 2009

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