Consider the sequence a, = 5". a. Does this sequence converge? If so, what does it converge to? Now consider the series 5". Recall that the k* partial sum is s, = i 5". n=0 R=0 b. Write out and compute the partial sums S,, S, and S,. c. Does this series converge? If so, what does it converge to?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 25RE: Use the formula for the sum of the first nterms of a geometric series to find S9 , for the series...
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Consider the sequence a, = 5".
a. Does this sequence converge? If so, what does it converge to?
Now consider the series i 5". Recall that the k* partial sum is s, = i 5".
R=0
b. Write out and compute the partial sums S,, S, and Sg.
c. Does this series converge? If so, what does it converge to?
Transcribed Image Text:Consider the sequence a, = 5". a. Does this sequence converge? If so, what does it converge to? Now consider the series i 5". Recall that the k* partial sum is s, = i 5". R=0 b. Write out and compute the partial sums S,, S, and Sg. c. Does this series converge? If so, what does it converge to?
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