Odd Number Theorem

Move the slider and observe what happens.

1. How many 1 by 1 squares are added each time the slider increases by 1?
2. What is the total number of colored squares 1 by 1 if n = 3, 4, 5?
3. What can you generalize from your observations in 1 and 2?

This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com

The applet above shows the sum of the first n odd integers is n^2.

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