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Proposition 9. Let n be a non-negative integer. Then 1+2+4+ 8+ ..+ 2" = 2"+1 – 1. Special directions: Your proof must be a combinatorial proof. The ideas is that you come up with a single collection of objects and explain how both sides of the equation counts this collection. Proof.

Proposition 9. Let n be a non-negative integer. Then 1+2+4+ 8+ ..+ 2" = 2"+1 – 1. Special directions: Your proof must be a combinatorial proof. The ideas is that you come up with a single collection of objects and explain how both sides of the equation counts this collection. Proof.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 13E
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please send correct proof 9

Proposition 9. Let n be a non-negative integer. Then 1+2+4+ 8+ ..+ 2" = 2"+1 – 1. Special directions: Your proof must be a combinatorial proof. The ideas is that you come up with a single collection of objects and explain how both sides of the equation counts this collection. Proof.
Transcribed Image Text:Proposition 9. Let n be a non-negative integer. Then 1+2+4+ 8+ ..+ 2" = 2"+1 – 1. Special directions: Your proof must be a combinatorial proof. The ideas is that you come up with a single collection of objects and explain how both sides of the equation counts this collection. Proof.
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