Let a > 0 and X1 = √a. Define the sequence Xn = √(a + Xn-1), n ≥ 1. Show that (Xn)n is convergent and determine its limit.
Let a > 0 and X1 = √a. Define the sequence Xn = √(a + Xn-1), n ≥ 1. Show that (Xn)n is convergent and determine its limit.
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 72E
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Let a > 0 and X1 = √a. Define the sequence Xn = √(a + Xn-1), n ≥ 1.
Show that (Xn)n is convergent and determine its limit.
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