Use a convergence test of your choice to determine whether the following series converges or diverges. 8 Σ k=1 3 2 4K +8 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The Ratio Test yields r = OB. The Ratio Test yields r= C. O D. Because Because 3 ∞ 3 S and Σ k=1 2 4k +8 k 3 2 4k +8 k ∞ 3 > and Σ k=1 This is greater than 1, so the series diverges by the Ratio Test. (Type an exact answer.) This is less than 1, so the series converges by the Ratio Test. (Type an exact answer.) CO 3 3 converges, the given series converges by the Comparison Test. V diverges, the given series diverges by the Comparison Test.
Use a convergence test of your choice to determine whether the following series converges or diverges. 8 Σ k=1 3 2 4K +8 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The Ratio Test yields r = OB. The Ratio Test yields r= C. O D. Because Because 3 ∞ 3 S and Σ k=1 2 4k +8 k 3 2 4k +8 k ∞ 3 > and Σ k=1 This is greater than 1, so the series diverges by the Ratio Test. (Type an exact answer.) This is less than 1, so the series converges by the Ratio Test. (Type an exact answer.) CO 3 3 converges, the given series converges by the Comparison Test. V diverges, the given series diverges by the Comparison Test.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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