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8 Σ(-1)*+2 k=4 converges or diverges. k² √5 +19 We can conclude that: O The Alternating Series Test does not apply because the absolute value of the terms are not decreasing. O The Alternating Series Test does not apply because the absolute value of the terms do not approach 0, and the series diverges for the same reason. O The series diverges by the Alternating Series Test. O The Alternating Series Test does not apply because the terms of the series do not alternate. O The series converges by the Alternating Series Test.

8 Σ(-1)*+2 k=4 converges or diverges. k² √5 +19 We can conclude that: O The Alternating Series Test does not apply because the absolute value of the terms are not decreasing. O The Alternating Series Test does not apply because the absolute value of the terms do not approach 0, and the series diverges for the same reason. O The series diverges by the Alternating Series Test. O The Alternating Series Test does not apply because the terms of the series do not alternate. O The series converges by the Alternating Series Test.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 91E
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We want to use the Alternating Series Test to determine if the series: Σ (-1)+2 k=4 converges or diverges. We can conclude that: k² √5 + 19 O The Alternating Series Test does not apply because the absolute value of the terms are not decreasing. O The Alternating Series Test does not apply because the absolute value of the terms do not approach 0, and the series diverges for the same reason. O The series diverges by the Alternating Series Test. O The Alternating Series Test does not apply because the terms of the series do not alternate. O The series converges by the Alternating Series Test.
Transcribed Image Text:We want to use the Alternating Series Test to determine if the series: Σ (-1)+2 k=4 converges or diverges. We can conclude that: k² √5 + 19 O The Alternating Series Test does not apply because the absolute value of the terms are not decreasing. O The Alternating Series Test does not apply because the absolute value of the terms do not approach 0, and the series diverges for the same reason. O The series diverges by the Alternating Series Test. O The Alternating Series Test does not apply because the terms of the series do not alternate. O The series converges by the Alternating Series Test.
For the series below calculate the sum of the first 4 terms, S4, and find a bound for the error. Include several decimals for accuracy when the problem is graded. 8 n=1 S4= = (-1)" 200 n0.8 error ≤
Transcribed Image Text:For the series below calculate the sum of the first 4 terms, S4, and find a bound for the error. Include several decimals for accuracy when the problem is graded. 8 n=1 S4= = (-1)" 200 n0.8 error ≤
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