Consider the sequence {n} defined inductively by x1 = 1, and Vn € N, n+1 = √4xn +5. Prove that {n} converges, and find its limit. (Hint: See Example 2.5.8.] Hiw boniduros manooda goos

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 55E
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Consider the sequence {n} defined inductively by x1 = 1, and Vn € N,
In+1 = √4xn +5. Prove that {n} converges, and find its limit. [Hint:
See Example 2.5.8.]
V
ros mismosda
Transcribed Image Text:Consider the sequence {n} defined inductively by x1 = 1, and Vn € N, In+1 = √4xn +5. Prove that {n} converges, and find its limit. [Hint: See Example 2.5.8.] V ros mismosda
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