Consider the sequence 2 - 7 5x Ti+1 = X; i = 0,1, 2, ... (1) To what value does this sequence converge? (2) Use ro = 1 to approximate the limit in part (1) to within 10-3. (3) What is the order of convergence of this sequence? Justify your ansv

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 33E
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Consider the sequence
r - 7
5x
Xi+1 = X;
i = 0, 1, 2, ...
(1) To what value does this sequence converge?
(2) Use ro = 1 to approximate the limit in part (1) to within 10-3.
%3D
(3) What is the order of convergence of this sequence? Justify your answer.
Transcribed Image Text:Consider the sequence r - 7 5x Xi+1 = X; i = 0, 1, 2, ... (1) To what value does this sequence converge? (2) Use ro = 1 to approximate the limit in part (1) to within 10-3. %3D (3) What is the order of convergence of this sequence? Justify your answer.
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