Image:GeometricSquares.png

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[edit] Summary

An illustration of geometric series. Each of the purple squares is 1/4 of the area of the previous square, with the total area being

$\frac{1}{4} \,+\, \frac{1}{16} \,+\, \frac{1}{64} \,+\, \cdots \;=\; \frac{1}{3}$ .

Proofs without Words: Exercises in Visual Thinking (Classroom Resource Material), by Roger B. Nelson. ISBN 978-0883857007.

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	Date/Time	Dimensions	User	Comment
current	22:28, 8 August 2007	359×350 (6 KB)	Jim.belk (Talk \| contribs)	(The geometric series <math>\frac{1}{4} + \frac{1}{16} + \frac{1}{64} + \cdots</math> sums to 1/3.)