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34. Write the rule for the following geometric sequence. 27,9,3,1,... n- A. an = 27(3)¹-1 B. an = (-)" n-1 C. an = 27 (²)"-¹ D. an = 81 (-)"

34. Write the rule for the following geometric sequence. 27,9,3,1,... n- A. an = 27(3)¹-1 B. an = (-)" n-1 C. an = 27 (²)"-¹ D. an = 81 (-)"

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Please answer #34
### Problem Statement 34. Write the rule for the following geometric sequence: \(27, 9, 3, 1, \frac{1}{3},\ldots\) #### Options: **A.** \( a_n = 27(3)^{n-1} \) **B.** \( a_n = \left( \frac{1}{3} \right)^{n-1} \) **C.** \( a_n = 27 \left( \frac{1}{3} \right)^{n-1} \) **D.** \( a_n = 81 \left( \frac{1}{3} \right)^n \)
Transcribed Image Text:### Problem Statement 34. Write the rule for the following geometric sequence: \(27, 9, 3, 1, \frac{1}{3},\ldots\) #### Options: **A.** \( a_n = 27(3)^{n-1} \) **B.** \( a_n = \left( \frac{1}{3} \right)^{n-1} \) **C.** \( a_n = 27 \left( \frac{1}{3} \right)^{n-1} \) **D.** \( a_n = 81 \left( \frac{1}{3} \right)^n \)
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