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| − | <math>\sum_{n = M}^N \alpha^n = \alpha^M - \alpha^{N-1}</math> | + | =A useful Geometric Series formula= |
| + | <math>\sum_{n = M}^N \alpha^n = \frac{\alpha^M - \alpha^{N-1}}{(1 - \alpha)}</math> | ||
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| + | *What if <math>\alpha=1</math>???? | ||
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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? | ||
| + | ---- | ||
| + | [[ECE301|Back to ECE301]] | ||
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| + | [[ECE438|Back to ECE438]] | ||
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| + | [[More_on_geometric_series|More on geometric series]] | ||
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| + | [[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?
