Sum of Reciprocals of Triangular Numbers

Requires a Wolfram Notebook System

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

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

The sum of the reciprocals of the triangular numbers is

[more]

.

For each , the area of each colored rectangle in the graphic is .

[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: R. B. Nelsen, "Proof without Words: Sum of Reciprocals of Triangular Numbers," Mathematics Magazine, 64(3), 1991 p.167.



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