
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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![**Problem Statement:**
Find the common ratio \( r \) of the geometric series \( a_n \) that satisfies the following conditions: \( c = 4 \), \( S = 16 \).
*Note:* Use the paperclip button below to attach files.
**Explanation:**
This problem involves finding the common ratio of a geometric series. The series \( a_n \) is defined by the first term \( c = 4 \) and a sum \( S = 16 \).
To find the common ratio \( r \), you can use the formula for the sum of an infinite geometric series:
\[ S = \frac{c}{1 - r} \]
In this case:
\[ 16 = \frac{4}{1 - r} \]
Solve for \( r \) to find the common ratio.
*Tools Provided:*
The text box with formatting options allows for input of your solution. There is also an option to attach any relevant files if needed.](https://content.bartleby.com/qna-images/question/c3976e94-7acb-41ae-a06e-ebe418a2ba28/4877d30f-06aa-471c-9801-4638e5f0891d/7k7aj6_thumbnail.jpeg)
Transcribed Image Text:**Problem Statement:**
Find the common ratio \( r \) of the geometric series \( a_n \) that satisfies the following conditions: \( c = 4 \), \( S = 16 \).
*Note:* Use the paperclip button below to attach files.
**Explanation:**
This problem involves finding the common ratio of a geometric series. The series \( a_n \) is defined by the first term \( c = 4 \) and a sum \( S = 16 \).
To find the common ratio \( r \), you can use the formula for the sum of an infinite geometric series:
\[ S = \frac{c}{1 - r} \]
In this case:
\[ 16 = \frac{4}{1 - r} \]
Solve for \( r \) to find the common ratio.
*Tools Provided:*
The text box with formatting options allows for input of your solution. There is also an option to attach any relevant files if needed.
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