(5 intermediate revisions by 3 users not shown)
Line 1: Line 1:
<math>\sum_{n = M}^N \alpha^n</math>
+
=A useful Geometric Series formula=
 +
<math>\sum_{n = M}^N \alpha^n = \frac{\alpha^M - \alpha^{N-1}}{(1 - \alpha)}</math>
 +
 
 +
*What if <math>\alpha=1</math>????
 +
 
 +
*For what values of M and N does this formula hold? Can they both be negative? Does N need to be greater than M?
 +
----
 +
[[ECE301|Back to ECE301]]
 +
 
 +
[[ECE438|Back to ECE438]]
 +
 
 +
[[More_on_geometric_series|More on geometric series]]
 +
 
 +
[[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

Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett