A. Consider the recursively defined sequence s1 = 1 and s+1 = 1/ (7 - Sn) for n > 1. i. Prove that s, converges. (Hint: is the sequence monotone?) ii. Solve to find the 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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A. Consider the recursively defined sequence s1 = 1 and s+1 = 1/ (7 - Sn) for n > 1.
i. Prove that s, converges. (Hint: is the sequence monotone?)
ii. Solve to find the limit.
Transcribed Image Text:A. Consider the recursively defined sequence s1 = 1 and s+1 = 1/ (7 - Sn) for n > 1. i. Prove that s, converges. (Hint: is the sequence monotone?) ii. Solve to find the limit.
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