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Proof without Words: Arithmetic Progressions with Sum Equal to the Square of the Number of Terms

by James O. Chilaka (Long Island University)

This article originally appeared in:
Mathematics Magazine
April, 1986

Subject classification(s): Sequences and Series | Algebra | Algebra and Number Theory
Applicable Course(s): 3.1 Mainstream Calculus I

A visual verification of the fact that the sum of the integers from n to 3n-2 is (2n-1)2 in the case that n = 4.

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Capsule Course Topic(s):
One-Variable Calculus | Background
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Dummy View - NOT TO BE DELETED