Sum of a Geometric Series

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

All the green triangles are similar, and the big triangle is similar to the green triangles.

[more]

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

[less]

Contributed by: Soledad Mª Sáez Martínez and Félix Martínez de la Rosa (March 2011)
Open content licensed under CC BY-NC-SA


Snapshots


Details

Reference: J. H. Webb, "Proof without Words: ," Mathematics Magazine, 60(3), 1987 p. 177.



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send