Sunday, March 4, 2012

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 - it looks like you don't have Java installed, please go to

The applet above shows the sum of the first n odd integers is n2.

Download Applet

No comments:

Post a Comment