Answered: 14. Establish the identity below using…

14. Establish the identity below using a combinatorial proof. 3 n 1 - 2 n - (2) (2) + (¿) (* 2³) + (2) ("² ²³) + + (2) (2) = (" + ³). 2 2 = n+3 5

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.5: The Binomial Theorem

Problem 54E

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Question

14. Establish the identity below using a combinatorial proof.
3
n 1
-
2
n
-
(2) (2) + (¿) (* 2³) + (2) ("² ²³) + + (2) (2) = (" + ³).
2
2
=
n+3
5

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