If the n-th partial sum of a series (n=1 to infinity) an is sn =(3n + 5)/(2n − 1) find the following.  a) Is the series an convergent or divergent? If it is convergent, find the sum. If it is divergent, explain  b) Is the sequence {an} convergent or divergent? If it is convergent, find the limit. If it is divergent, explain why. Do it without calculating any expression for an. c) Is the series sn convergent or divergent? If it is convergent, find the sum. If it is divergent, explain why

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 23RE: Use the formula for the sum of the first ii terms of an arithmetic series to find the sum of the...
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If the n-th partial sum of a series (n=1 to infinity)
an is sn =(3n + 5)/(2n − 1) find the following. 

a) Is the series an convergent or divergent? If it is convergent, find the sum. If it is divergent, explain 

b) Is the sequence {an} convergent or divergent? If it is convergent, find the limit. If it is divergent, explain why. Do it without calculating any expression for an.

c) Is the series sn convergent or divergent? If it is convergent, find the sum. If it is divergent, explain why

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