Elementary Geometry For College Students, 7e
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.

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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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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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