Homework Help is Here – Start Your Trial Now!
Math
Calculus
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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
See similar textbooks
icon
Related questions
Question
Use a convergence test of your choice to determine whether the following series converges or diverges. ∞ Σ k=1 3 2 4k +8 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The Ratio Test yields r= OB. The Ratio Test yields r = C. D. Because Because 3 4k +8 k 3 ∞ 3 S and Σ k=1 ≥ 32 2 4K +8 k 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.) ∞ and Σ k=1 3 k² ... FN|W k² converges, the given series converges by the Comparison Test. N diverges, the given series diverges by the Comparison Test.
Transcribed Image Text:Use a convergence test of your choice to determine whether the following series converges or diverges. ∞ Σ k=1 3 2 4k +8 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The Ratio Test yields r= OB. The Ratio Test yields r = C. D. Because Because 3 4k +8 k 3 ∞ 3 S and Σ k=1 ≥ 32 2 4K +8 k 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.) ∞ and Σ k=1 3 k² ... FN|W k² converges, the given series converges by the Comparison Test. N diverges, the given series diverges by the Comparison Test.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 7 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
SEE MORE TEXTBOOKS