Use the alternating series estimation theorem to determine how many terms should be used to estimate the sum of the entire series with an error of less than 0.001 1 E (- 1)n+1. 3/7n n= 1 7 C.... or more terms should be used to estimate the sum of the entire series with an error of less than 0.001.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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Use the alternating series estimation theorem to determine how many terms should be used to estimate the sum of the entire series with an error of less than 0.001.
00
1
E (- 1)n+1.
3
3/7n
n= 1
n +
7
or more terms should be used to estimate the sum of the entire series with an error of less than 0.001.
Transcribed Image Text:Use the alternating series estimation theorem to determine how many terms should be used to estimate the sum of the entire series with an error of less than 0.001. 00 1 E (- 1)n+1. 3 3/7n n= 1 n + 7 or more terms should be used to estimate the sum of the entire series with an error of less than 0.001.
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