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(i) Show that the sequence {2-1}=11 nis monotonic. (ii) Is it bounded above and/or below? Give a reason for your answer. (iii) Can you conclude that it converges? give a reason for your answer.

(i) Show that the sequence {2-1}=11 nis monotonic. (ii) Is it bounded above and/or below? Give a reason for your answer. (iii) Can you conclude that it converges? give a reason for your answer.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 48E
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(i) Show that the sequence {" is monotonic. 21–1 Šn=1 (ii) Is it bounded above and/or below? Give a reason for your answer. (iii) Can you conclude that it converges? give a reason for your answer.
Transcribed Image Text:(i) Show that the sequence {" is monotonic. 21–1 Šn=1 (ii) Is it bounded above and/or below? Give a reason for your answer. (iii) Can you conclude that it converges? give a reason for your answer.
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