1. (a) State whether the sequence {an}, with an defined below, converges or diverges. If convergent, find the limit of the sequence. Provide justification for your answer. an = /9n - 4 4n+1 (b) Consider the series an where an is defined in part (a). Use your answer to part (a) to conclude whether this series converges or diverges. Support your answer by referring to a specific result or test discussed in class.

1. (a) State whether the sequence {an}, with an defined below, converges or diverges. If convergent, find the limit of the sequence. Provide justification for your answer. an = /9n - 4 4n+1 (b) Consider the series an where an is defined in part (a). Use your answer to part (a) to conclude whether this series converges or diverges. Support your answer by referring to a specific result or test discussed in class.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.3: Geometric Sequences

Problem 81E

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