The Sum of the Cubes of the First N Natural Numbers

This applet shows a dynamic geometric proof of the formula for the sum of the cubes of the first n natural numbers. Think of each cube as a collection of [b]n[/b] [b]n[/b]x[b]n[/b] square layers of unit cubes. To find a formula for the sum of the cubes of the first natural numbers we will rearrange the square layers.

 

Irina Boyadzhiev

 
Resource Type
Activity
Tags
cubes  exploration  natural  numbers  sequences-and-series  sum 
Target Group (Age)
15 – 19+
Language
English (United States)
 
 
 
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