The Sum of the Squares of the First n Natural Numbers
- Irina Boyadzhiev
This applet gives a dynamic proof of the formula for the sum of the squares of the first n natural numbers.
- Drag the slider to form the area representing the sum of the squares of several of the first natural numbers.
- Triple this area.
- Click on "Color the third column" .
- Drag the slider to rearrange the parts of the third column.
- Click on "Show the formulae" to see the result.
More GeoGebra applets at: http://lima.osu.edu/people/iboyadzhiev/MyGeogebra.htm