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Economic Theory

Infinite Geometric Sum--Proof Without Words

Infinite Geometric Sum

Some basic mathematical formulas can be proved by a geometric "proof without words" [1]. Figures 1 and 2 each prove the infinite geometric sum formula 1 = 1 + r + r2 + · · · . 1-r

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Economic Theory

Infinite Geometric Sum--Proof Without Words

Figure 1: Benjamin G. Klein and Irl C. Bivens

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Economic Theory

Infinite Geometric Sum--Proof Without Words

Figure 2: Warren Page

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Economic Theory

Infinite Geometric Sum--Proof Without Words

References

[1] Roger B. Nelsen. Proofs Without Words: Exercises in Visual Thinking. The Mathematical Association of America, Washington, DC, 1993. QA90N385 1993.

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Infinite Geometric Sum--Proof Without Words

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