Question

The first term of a geometric sequence is $\frac{2}{3}$. The next three terms are $\frac{1}{2}$, $\frac{3}{8}$, and $\frac{9}{32}$. What is the tenth term of the sequence?

Name: The first term of a geometric sequence is (2)/(3). The next three terms are (1)/(2), (3)/(8), and (9)/(32). What is the tenth term of the sequence?
Uploaded: 2023-12-20T22:00:20-08:00
Duration: 2 min 41 s
Channel: Kathleen Carty
Description: The first term of a geometric sequence is (2)/(3). The next three terms are (1)/(2), (3)/(8), and (9)/(32). What is the tenth term of the sequence?

          The first term of a geometric sequence is $\frac{2}{3}$. The next three terms are $\frac{1}{2}$, $\frac{3}{8}$, and $\frac{9}{32}$. What is the tenth term of the sequence?

Added by Heather L.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Kathleen Carty

12/20/2023

Step 1

To find the common ratio, we can divide any term by the previous term. Let's use the second and first terms: Common ratio = (1/2) / (2/3) = (1/2) * (3/2) = 3/4 Show more…

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The first term of a geometric sequence is (2)/(3). The next three terms are (1)/(2), (3)/(8), and (9)/(32). What is the tenth term of the sequence? (A) (19,683)/(524,288) (B) (6,561)/(131,072) (C) (524,288)/(59,049) (D) (2,097,152)/(177,147)