2" + 7" Determine whether the series 9h converges or diverges. If it converges, find its sum. n = 1 Select the correct answer below and, if necessary, fill in the answer box within your choice. 2" + 7" #0 or fails to exist. 9" O A. The series diverges because lim n- 00 2" + 7" The series converges because lim = 0. The sum of the series is 9h O B. n-00 (Simplify your answer.) O C. The series diverges because it is the sum of two geometric series, at least one with r|21. The series converges because it is the sum of two geometric series, each with r| < 1. The sum of the series is O D. (Simplify your answer.)
2" + 7" Determine whether the series 9h converges or diverges. If it converges, find its sum. n = 1 Select the correct answer below and, if necessary, fill in the answer box within your choice. 2" + 7" #0 or fails to exist. 9" O A. The series diverges because lim n- 00 2" + 7" The series converges because lim = 0. The sum of the series is 9h O B. n-00 (Simplify your answer.) O C. The series diverges because it is the sum of two geometric series, at least one with r|21. The series converges because it is the sum of two geometric series, each with r| < 1. The sum of the series is O D. (Simplify your answer.)
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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Transcribed Image Text:Determine whether the series>
2" + 7"
converges or diverges. If it converges, find its sum.
6.
9h
n = 1
Select the correct answer below and, if necessary, fill in the answer box within your choice.
2" +7"
O A. The series diverges because lim
#0 or fails to exist.
9h
"
2 +7
The series converges because lim
OB.
= 0. The sum of the series is
9"
6.
(Simplify your answer.)
O C. The series diverges because it is the sum of two geometric series, at least one with Ir| 21
The series converges because it is the sum of two geometric series, each with r<1. The sum of the series is
(Simplify your answer)
OD.
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