Averages/Root mean square: Difference between revisions

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Using these equations:<br>
<math>\sum_{i=1}^n i^2 = \frac{n(n+1)(2n+1)}{6}</math> See [[wp:List of mathematical series]]<br><br>
for <math>0<a<b</math> : <math>\sum_{i=a}^b i^2 = \sum_{i=1}^b i^2 - \sum_{i=1}^{a-1} i^2</math><br><br>
We can show that:<br>
<math>\sum_{i=a}^b i^2 = \frac{b(b+1)(2b+1)-a(a-1)(2a-1)}{6}</math>
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