Line 6: Line 6:
 
*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?
 
----
 
----
[[More_on_geometric_series|Back to page on Geometric Series]]
+
[[ECE301|Back to ECE301]]
 +
 
 +
[[ECE438|Back to ECE438]]
 +
 
 +
[[More_on_geometric_series|More on geometric series]]
 +
 
 +
[[Category:geometric series]]

Latest revision as of 09:27, 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

Correspondence Chess Grandmaster and Purdue Alumni

Prof. Dan Fleetwood