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Proof without Words: Sums of Special Products

by Sidney H. Kung (Jacksonville University)

This article originally appeared in:
Mathematics Magazine
February, 1989

Subject classification(s): Numbers and Computation | Patterns and Sequences
Applicable Course(s): 3.7 Discrete Math | 4.1 Introduction to Proofs

The author presents a visual proof of the formula for the sum of the first n consecutive products: \(1 \times 2 + 2 \times 3 + 3 \times 4 +\ldots + n \times (n+1)\).


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