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Proof without Words: Sum of Reciprocals of Triangular Numbers

by Roger B. Nelsen (Lewis and Clark College)

This article originally appeared in:
Mathematics Magazine
June, 1991

Subject classification(s): Calculus | Single Variable Calculus | Series | Geometry and Topology | Geometric Proof
Applicable Course(s): 1.1 Arithmetic | 3.2 Mainstream Calculus II | 4.1 Introduction to Proofs

The sum of reciprocals of triangular numbers is computed visually.


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Capsule Course Topic(s):
Sequences and Series | Special Sequences
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