4*+1+3"Consider the sequence a, =(a) Is the sequence monotonic pr non-monotonic? If it is monotonic,determine if it is decreasing or increasing (show your work).(b) Is the sequence'bounded? If it is bounded, find its boundaries.(c) Is the sequence convergent or divergent?

(a) an = (4n+1 + 3n)/4n = 4 + (3/4)n As (3/4) < 1, (3/4)n is monotonic decreasing.…

Answered: Consider the sequence a, = 4+1+3" 4"…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 65E

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Consider the sequence a, = 4+1+3" 4" (a) Is the sequence monotonic pr non-monotonic? If it is monotonic, determine if it is decreasing or increasing (show your work). (b) Is the sequence'bounded? If it is bounded, find its boundaries. (c) Is the sequence convergent or divergent?