Use a convergence test of your choice to determine whether the following series converges. 80 Σ k=1 2k 7k+ 13 k Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) OA. The Root Test yields p= so the series converges by the Root Test. This is less than 1, so the series converges by the Ratio Test. OB. The terms of the series are alternating and their limit is so the series converges by the Alternating Series Test. OC. The Ratio Test yields r= OD. The terms of the series are alternating and their limit is OE. The Ratio Test yields r= 1 so the series diverges by the Alternating Series Test. This is greater than 1, so the series diverges by the Ratio Test. OF. The Root Test yields p= so the series diverges by the Root Test.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 28RE: A ball has a bounce-back ratio 35 . of the height of the previous bounce. Write a series...
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Use a convergence test of your choice to determine whether the following series converges.
80
k=1
2k
7k+ 13
k
Select the correct choice below and fill in the answer box to complete your choice.
(Type an exact answer.)
OA. The Root Test yields p=
so the series converges by the Root Test.
OB. The terms of the series are
alternating and their limit is so the series converges by the Alternating Series Test.
This is less than 1, so the series converges by the Ratio Test.
OC. The Ratio Test yields r=
OD. The terms of the series are alternating and their limit is so the series diverges by the Alternating Series Test.
1
OE. The Ratio Test yields r =
This is greater than 1, so the series diverges by the Ratio Test.
OF. The Root Test yields p=
so the series diverges by the Root Test.
Transcribed Image Text:Use a convergence test of your choice to determine whether the following series converges. 80 k=1 2k 7k+ 13 k Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) OA. The Root Test yields p= so the series converges by the Root Test. OB. The terms of the series are alternating and their limit is so the series converges by the Alternating Series Test. This is less than 1, so the series converges by the Ratio Test. OC. The Ratio Test yields r= OD. The terms of the series are alternating and their limit is so the series diverges by the Alternating Series Test. 1 OE. The Ratio Test yields r = This is greater than 1, so the series diverges by the Ratio Test. OF. The Root Test yields p= so the series diverges by the Root Test.
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