(New page: <math> \sum_{k=1}^n k </math> is a arithmetic series because it has a common difference of 1.<BR> The general sum of an arithmetic series is <math> n \frac {(a_1+a_n)} {2}</math> where <m...) |
m (2b Henry Michl moved to 4.2b Henry Michl: Improperly named originally) |
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Latest revision as of 07:47, 15 October 2008
$ \sum_{k=1}^n k $ is a arithmetic series because it has a common difference of 1.
The general sum of an arithmetic series is $ n \frac {(a_1+a_n)} {2} $ where $ a_1 $ is the first term and $ a_n $ the last.
This is how Brian did his simplification.
$ (\frac{1}{n}) \sum_{k=1}^n k= \frac{1}{n} (\frac{n(n+1)}{2}) $
