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Determine whether the following series converges. Justify your answer. 00 3k° +k Σ 2k° - 2 k = 1

Determine whether the following series converges. Justify your answer. 00 3k° +k Σ 2k° - 2 k = 1

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 25RE: Use the formula for the sum of the first nterms of a geometric series to find S9 , for the series...
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Determine whether the following series converges. Justify your answer. 00 3k° +k 2k°-2 k= 1 Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) O A. The series is a p-series with p= so the series diverges by the properties of a p-series. O B. The series is a geometric series with common ratio so the series diverges by the properties of a geometric series. O C. The Ratio Test yields r= so the series converges by the Ratio Test. O D. The series is a p-series with p= so the series converges by the properties of a p-series. O E. The limit of the terms of the series is so the series diverges by the Divergence Test. O F. The Root Test yields p= , so the series converges by the Root Test. 3°C Cloudy
Transcribed Image Text:Determine whether the following series converges. Justify your answer. 00 3k° +k 2k°-2 k= 1 Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) O A. The series is a p-series with p= so the series diverges by the properties of a p-series. O B. The series is a geometric series with common ratio so the series diverges by the properties of a geometric series. O C. The Ratio Test yields r= so the series converges by the Ratio Test. O D. The series is a p-series with p= so the series converges by the properties of a p-series. O E. The limit of the terms of the series is so the series diverges by the Divergence Test. O F. The Root Test yields p= , so the series converges by the Root Test. 3°C Cloudy
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