18. Let T) Σ-1() k=0 (a) Use Pascal's Triangle to compute T(n) for n = 1, 2, 3, 4. (b) Prove that T(n) = 0 for all n > 1. Hint: Expand (a + b)" and evaluate at a = 1, b = -1. %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.4: Complex And Rational Zeros Of Polynomials
Problem 46E
Question
18. Let T) Σ-1()
k=0
(a) Use Pascal's Triangle to compute T(n) for n = 1, 2, 3, 4.
(b) Prove that T(n) = 0 for all n > 1. Hint: Expand (a + b)" and
evaluate at a = 1, b = -1.
%3D
Transcribed Image Text:18. Let T) Σ-1() k=0 (a) Use Pascal's Triangle to compute T(n) for n = 1, 2, 3, 4. (b) Prove that T(n) = 0 for all n > 1. Hint: Expand (a + b)" and evaluate at a = 1, b = -1. %3D
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