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<math>\sum_{n = M}^N \alpha^n = \frac{\alpha^M - \alpha^{N-1}}{(1 - \alpha)}</math>
 
<math>\sum_{n = M}^N \alpha^n = \frac{\alpha^M - \alpha^{N-1}}{(1 - \alpha)}</math>
  
Is this formula correct? Please comment.
+
Is this formula correct? For what values of the parameters is the formula valid? Please comment.
 
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==Share your answers below==
 
==Share your answers below==

Revision as of 04:58, 9 September 2011

When is this super duper geometric series formula valid?

A student in ECE301 once wrote the following formula on his exam:

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

Is this formula correct? For what values of the parameters is the formula valid? Please comment.


Share your answers below

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Answer 1

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Answer 2

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Answer 3

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Back to ECE438 Fall 2011 Prof. Boutin

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More on geometric series

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Ph.D. on Applied Mathematics in Aug 2007. Involved on applications of image super-resolution to electron microscopy

Francisco Blanco-Silva