Move the slider and observe what happens.

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

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

*n*

^{2.}

Download Applet

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