given parameters a,b > o and the given sequence x₁= b X = n+1 4 (x₂ + 4a) n Xn a. Show that a b. Show that x,is Cauchy c. give a value of a, b as rational numbers and they will converge to irrational number

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 31E
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given parameters a,b > o and the given sequence
4a
xn= b
X =
1/(x₂ +
n+1
4
Xn
a. Show that
√a
b. Show that x, is Cauchy
c. give a value of a, b as rational numbers
and they will converge to irrational number
Transcribed Image Text:given parameters a,b > o and the given sequence 4a xn= b X = 1/(x₂ + n+1 4 Xn a. Show that √a b. Show that x, is Cauchy c. give a value of a, b as rational numbers and they will converge to irrational number
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