Estimating the sum of one more alternating series. For the following alternating se- ries, Σ n=1 an 1 1 1 + 10 100 1 1000 + ... how many terms do you have to go for your approximation (your partial sum) to be within 1e-08 from the convergent value of that series?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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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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4.
Estimating the sum of one more alternating series. For the following alternating se-
ries,
1 1
10
1
100 1000
Σa an = 1- +
n=1
+ ...
how many terms do you have to go for your approximation (your partial sum) to be
within 1e-08 from the convergent value of that series?
Transcribed Image Text:4. Estimating the sum of one more alternating series. For the following alternating se- ries, 1 1 10 1 100 1000 Σa an = 1- + n=1 + ... how many terms do you have to go for your approximation (your partial sum) to be within 1e-08 from the convergent value of that series?
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