Question A1: Suppose the function S: R+ → R+ is defined by S(x): = 1 2[x]- -x+1 (b) Define a sequence by $₁ = 1 and Sn+1 = S(sn) when n ≥ 1. Practice with the definition of S by writing out 81, 82, 83, 84, 85, 86, and 87. Do not submit these values. Do you see a pattern to which values are less than 1? There is no pattern. These numb seem random. 82 and 85 are the only terms that are less than 1. Every second term of the sequence is < 1. Every term except s₁ is less than 1. 82 and $4 are the only terms that are less than 1.

Question A1: Suppose the function S: R+ → R+ is defined by S(x): = 1 2[x]- -x+1 (b) Define a sequence by $₁ = 1 and Sn+1 = S(sn) when n ≥ 1. Practice with the definition of S by writing out 81, 82, 83, 84, 85, 86, and 87. Do not submit these values. Do you see a pattern to which values are less than 1? There is no pattern. These numb seem random. 82 and 85 are the only terms that are less than 1. Every second term of the sequence is < 1. Every term except s₁ is less than 1. 82 and $4 are the only terms that are less than 1.

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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