Write the first five terms of the recursively defined sequence. 12 ak 2² a₁ = 4₁ ak + 1 Step 1 Note that the kth term of the sequence is defined by ak+1 Substitute k = 1 and Therefore, Step 2 Let a₁, a₂, a3, a4, and a5 be the first five terms of the sequence. Also note that a₁ = 4. = 1 ²₂=2²2²2²0 da₁ = 4 in ak + 1 Therefore, 1 2 Similarly, substitute k = 2 and = a2 N|T 2 = ²3 - 12/2² × ² = ²/1 аз = 12012². 4✔ = = 8 in ak + 1 4²: 1 = -1/201². ² = = 1 2 Zak². 2 = 8 ✔ 8
Write the first five terms of the recursively defined sequence. 12 ak 2² a₁ = 4₁ ak + 1 Step 1 Note that the kth term of the sequence is defined by ak+1 Substitute k = 1 and Therefore, Step 2 Let a₁, a₂, a3, a4, and a5 be the first five terms of the sequence. Also note that a₁ = 4. = 1 ²₂=2²2²2²0 da₁ = 4 in ak + 1 Therefore, 1 2 Similarly, substitute k = 2 and = a2 N|T 2 = ²3 - 12/2² × ² = ²/1 аз = 12012². 4✔ = = 8 in ak + 1 4²: 1 = -1/201². ² = = 1 2 Zak². 2 = 8 ✔ 8
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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