Sunday, March 3, 2013

The Sum of Squares - dynamic proof

This applet gives a  dynamic proof of the formula for the sum of the squares of the first n natural numbers.  We start with three times the sum of the squares and rearrange the parts of one of the sums.
  • Click on "Color the third column".
  • Drag the slider to rearrange the parts of the third column.
The area of the formed rectangle equals three times the sum of the squares.
  • Click on  Show the formulas  to see the result.

Irina Boyadzhiev, 13 February 2013, Created with GeoGebra

Download the file

Irina's GeoGebra Applets

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