Find the common ratio of the geometric sequence -7, -14,-28, ...

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Educational Website: Geometric Sequences and Common Ratios

---

#### Lesson: Common Ratio / Difference (Level 1)

Instructor: Ashly Farfan  
Date: Jun 22, 1:24:22 PM

---

### Topic Overview

In this lesson, you will learn how to find the common ratio of a geometric sequence. 

#### Example Problem:
Find the common ratio of the geometric sequence:
\[ -7, -14, -28, \ldots \]

### Steps to Solve:

1. **Identify the consecutive terms** in the sequence.
2. **Divide a term by the preceding term** to find the common ratio (r):
   \[
   \text{Common Ratio} = \frac{a_{n+1}}{a_n}
   \]
  
### Practice Problem:
Use the provided sequence to calculate the common ratio.

Answer: [Text box for input]

**Tip:** Watch the help video for guidance on solving problems involving common ratios and differences.

[Submit Answer Button]

---

#### Additional Resources
- [Watch help video](#)
- [See Solution](#)
- [Show Example](#)

---

### Notes:
- Make sure you understand each step before moving on.
- Attempt the problem at least twice to ensure mastery.

---

### License:
This content is provided by DeltaMath.com. Copyright © 2021, All Rights Reserved.

---

Stay curious and keep practicing!

---

#### User Interface Details:
- There are navigation buttons labeled "See Solution" and "Show Example."
- The completion rate indicates 32%.
- There is an attempt tracker indicating "attempt 1 out of 2."
Transcribed Image Text:### Educational Website: Geometric Sequences and Common Ratios --- #### Lesson: Common Ratio / Difference (Level 1) Instructor: Ashly Farfan Date: Jun 22, 1:24:22 PM --- ### Topic Overview In this lesson, you will learn how to find the common ratio of a geometric sequence. #### Example Problem: Find the common ratio of the geometric sequence: \[ -7, -14, -28, \ldots \] ### Steps to Solve: 1. **Identify the consecutive terms** in the sequence. 2. **Divide a term by the preceding term** to find the common ratio (r): \[ \text{Common Ratio} = \frac{a_{n+1}}{a_n} \] ### Practice Problem: Use the provided sequence to calculate the common ratio. Answer: [Text box for input] **Tip:** Watch the help video for guidance on solving problems involving common ratios and differences. [Submit Answer Button] --- #### Additional Resources - [Watch help video](#) - [See Solution](#) - [Show Example](#) --- ### Notes: - Make sure you understand each step before moving on. - Attempt the problem at least twice to ensure mastery. --- ### License: This content is provided by DeltaMath.com. Copyright © 2021, All Rights Reserved. --- Stay curious and keep practicing! --- #### User Interface Details: - There are navigation buttons labeled "See Solution" and "Show Example." - The completion rate indicates 32%. - There is an attempt tracker indicating "attempt 1 out of 2."
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