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4. Note that, for any integer n ≥ 1, (1+x)=(1+x)"-1. (1+x). Use this fact to give a new proof that, for any integers n > k ≥ 0, (x) = (x=})+("="). k

4. Note that, for any integer n ≥ 1, (1+x)=(1+x)"-1. (1+x). Use this fact to give a new proof that, for any integers n > k ≥ 0, (x) = (x=})+("="). k

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 14E
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4. Note that, for any integer n ≥ 1, (1+x)=(1+x)"-1. (1+x). Use this fact to give a new proof that, for any integers n > k ≥ 0, (x) = (x=})+("="). k
Transcribed Image Text:4. Note that, for any integer n ≥ 1, (1+x)=(1+x)"-1. (1+x). Use this fact to give a new proof that, for any integers n > k ≥ 0, (x) = (x=})+("="). k
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