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Sum of a Geometric Series


	All the green triangles are similar, and the big triangle is similar to the green triangles. The ratio of the big triangle's sides is equal to the ratio of the sides for those triangles, so that , and then .


	Contributed by: Soledad Mª Sáez Martínez and Félix Martínez de la Rosa

Reference: J. H. Webb, "Proof without Words:

," Mathematics Magazine, 60(3), 1987 p. 177.

Geometric Series (Wolfram MathWorld)

"Sum of a Geometric Series" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/SumOfAGeometricSeries/

Contributed by: Soledad Mª Sáez Martínez and Félix Martínez de la Rosa

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