If we estimate the sum of the series with the first 200 terms, we get the following $200 S = 200 n=1 Σ n² n=1 n² -|~/22 ≈ 1.63995 (a) Estimate the size of the error S - $200. = in=] (b) What is your best guess at the actual (decimal) value of S (Using the numbers from part (a), not the "real" sum, you can find on the internet.)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Sequences And Series
Section8.4: Mathematics Of Finance
Problem 2E
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If we estimate the sum of the series
with the first 200 terms, we get the following
$200
S =
200
n=1
8
Σ
n²
n=1
n²
-|~/22
≈ 1.63995
(a) Estimate the size of the error S - $200.
=
in=]
(b) What is your best guess at the actual (decimal) value of S
(Using the numbers from part (a), not the "real" sum, you can find on the internet.)
Transcribed Image Text:If we estimate the sum of the series with the first 200 terms, we get the following $200 S = 200 n=1 8 Σ n² n=1 n² -|~/22 ≈ 1.63995 (a) Estimate the size of the error S - $200. = in=] (b) What is your best guess at the actual (decimal) value of S (Using the numbers from part (a), not the "real" sum, you can find on the internet.)
Expert Solution
Step 1: We write what we have to find out

(a) Estimate the size of the error S - s_{200}


(b) What is your best guess at the actual (decimal) value of S 

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