Determine whether the alternating series Σ (- n=1 COMING (-1)+1 8 converges or diverges. Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. OA. The series does not satisfy the conditions of the Alternating Series Test but converges because it is a p-series with p= OB. The series does not satisfy the conditions of the Alternating Series Test but diverges because it is a p-series with p= OC. The series converges by the Alternating Series Test. OD. The series does not satisfy the conditions of the Alternating Series Test but diverges by the Root Test because the limit used does not exist. O E. The series does not satisfy the conditions of the Alternating Series Test but converges because it is a geometric series with r=

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 46E
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Question
Determine whether the alternating series (-1)+18
n=1
converges or diverges.
Next question
Choose the correct answer below and, if necessary, fill in the answer box to complete your choice.
OA. The series does not satisfy the conditions of the Alternating Series Test but converges because it is a p-series with p =
OB. The series does not satisfy the conditions of the Alternating Series Test but diverges because it is a p-series with p =
OC. The series converges by the Alternating Series Test.
OD. The series does not satisfy the conditions of the Alternating Series Test but diverges by the Root Test because the limit used does not exist.
O E. The series does not satisfy the conditions of the Alternating Series Test but converges because it is a geometric series with r=
Transcribed Image Text:Determine whether the alternating series (-1)+18 n=1 converges or diverges. Next question Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. OA. The series does not satisfy the conditions of the Alternating Series Test but converges because it is a p-series with p = OB. The series does not satisfy the conditions of the Alternating Series Test but diverges because it is a p-series with p = OC. The series converges by the Alternating Series Test. OD. The series does not satisfy the conditions of the Alternating Series Test but diverges by the Root Test because the limit used does not exist. O E. The series does not satisfy the conditions of the Alternating Series Test but converges because it is a geometric series with r=
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