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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 (-)"

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.3: Geometric Sequences And Series
Problem 1ECP: Write the first four terms of the geometric sequence whose nth term is 6(2)n. Then find the common...
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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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