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# Proof without Words: Gabriel's Staircase

by Stuart G. Swain (University of Maine at Machias)

Mathematics Magazine
June, 1994

Subject classification(s): Single Variable Calculus | Calculus
Applicable Course(s): 3.5 Non-mainstream Calc II | 3.2 Mainstream Calculus II | 3.0 Calculus

A geometric proof of the sum of an infinite series. Gabriel's Staircase is $$\sum_{k=1}^{\infty} k r^k$$.

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