n=1 (-1)^+1 6n4 Use the Alternating Series Estimation Theorem to estimate the error in using the 3rd partial sum to approximate the sum of the series. (Round your answer to 5 decimal places.) X f the series is convergent, use the Alternating Series Estimation Theorem to determine the minimum number of terms we need to add in order to find the sum with an error less than 0.00005. (If the quantity diverges, enter DIVERGES

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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Consider the series below.
∞
Σ
n = 1
(-1)^ +1
674
Use the Alternating Series Estimation Theorem to estimate the error in using the 3rd partial sum to approximate the sum of the series. (Round your answer to 5 decimal places.)
If the series is convergent, use the Alternating Series Estimation Theorem to determine the minimum number of terms we need to add in order to find the sum with an error less than 0.00005. (If the quantity diverges, enter DIVERGES.)
terms
Transcribed Image Text:Consider the series below. ∞ Σ n = 1 (-1)^ +1 674 Use the Alternating Series Estimation Theorem to estimate the error in using the 3rd partial sum to approximate the sum of the series. (Round your answer to 5 decimal places.) If the series is convergent, use the Alternating Series Estimation Theorem to determine the minimum number of terms we need to add in order to find the sum with an error less than 0.00005. (If the quantity diverges, enter DIVERGES.) terms
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