# Proof without words

by Hee Sik Kim (Chungbuk National University, Korea)

Mathematics Magazine
June, 1993

Subject classification(s): Geometry and Topology | Geometric Proof
Applicable Course(s): 4.3 Number Theory | 4.7 Discrete Structures

A simple geometric proof for the formula $$1 + 3 + 5 + \ldots + (2n - 1) + (2n + 1) + (2n - 1) + \ldots + 5 + 3 + 1 = n^2 + (n + 1)^2$$

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Capsule Course Topic(s):
Number Theory | Numbers With Special Forms or Properties