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*For what values of M and N does this formula hold? Can they both be negative? Does N need to be greater than M?
 
*For what values of M and N does this formula hold? Can they both be negative? Does N need to be greater than M?
 
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[[More_on_geometric_series|More on geometric series]]
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[[Category:geometric series]]

Latest revision as of 08:27, 7 September 2011

A useful Geometric Series formula

$ \sum_{n = M}^N \alpha^n = \frac{\alpha^M - \alpha^{N-1}}{(1 - \alpha)} $

  • What if $ \alpha=1 $????
  • For what values of M and N does this formula hold? Can they both be negative? Does N need to be greater than M?

Back to ECE301

Back to ECE438

More on geometric series

Alumni Liaison

Prof. Math. Ohio State and Associate Dean
Outstanding Alumnus Purdue Math 2008

Jeff McNeal