Ratio Identifying a Geometric Determine whether the following represent geometric sequences. If yes, identify the common ratio. 1. 2, 10, 50, 250, ... 2. 135, 45, 15, 5, ... Sequence 3. 6, 18, 24, 30, ... 4. 7, -14, 28, -56, ... 5. 80, -40, 20, -10, ... 6. -9, -36, -144, -576, ... Given the geometric sequence, find the next three terms, Continuing Geometric Sequences 7.7, -21, 63, 8. 3072, 768, 192, 9. 8, 4, 2, 10. -5, -25, -125, Geometric The n th term of a geometric sequence can be found using the following formula: Sequence Formula Write the rule for the nth term, then find a7.

Algebra and Trigonometry (6th Edition)
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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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Name: Chase Langdale
Class:
Topic:
Date:
Main Ideas/Questions
Notes
Geometric
Sequences
Common
Ratio
Identifying
a Geometric
Sequence
Determine whether the following represent geometric sequences.
If yes, identify the common ratio.
1. 2, 10, 50, 250, ...
2. 135, 45, 15, 5, ..
3. 6, 18, 24, 30, ...
| 4. 7, -14, 28, -56, ..
5. 80, -40, 20, -10, ...
6. -9, -36, -144, -576, ...
Given the geometric sequence, find the next three terms.
Continuing
Geometric
Sequences
7. 7, -21, 63,
8. 3072, 768, 192,
9. 8, 4, 2,
10. -5, -25, -125,
Geometric
The n th term of a geometric sequence can be found using the
following formula:
Sequence
Formula
Examples
Write the rule for the nth term, then find a7.
11. 3, 9, 27, ...
12. -4, 20, -100, ...
O Gina Wilson (AI Things Algebrơ®, LLC), 2012-2017
Transcribed Image Text:Name: Chase Langdale Class: Topic: Date: Main Ideas/Questions Notes Geometric Sequences Common Ratio Identifying a Geometric Sequence Determine whether the following represent geometric sequences. If yes, identify the common ratio. 1. 2, 10, 50, 250, ... 2. 135, 45, 15, 5, .. 3. 6, 18, 24, 30, ... | 4. 7, -14, 28, -56, .. 5. 80, -40, 20, -10, ... 6. -9, -36, -144, -576, ... Given the geometric sequence, find the next three terms. Continuing Geometric Sequences 7. 7, -21, 63, 8. 3072, 768, 192, 9. 8, 4, 2, 10. -5, -25, -125, Geometric The n th term of a geometric sequence can be found using the following formula: Sequence Formula Examples Write the rule for the nth term, then find a7. 11. 3, 9, 27, ... 12. -4, 20, -100, ... O Gina Wilson (AI Things Algebrơ®, LLC), 2012-2017
13. 400, 200, 100, ...
14. 1, 5, 25, .
15. -1, -4, -16, ..
16. 729, -243, 81, ...
18. 8, 12, 18, ..
17. 6, -12, 24, ..
The table to the left shows a car's value for 3 years after it is
purchased.
Application
19. Write a rule to represent the car's depreciation.
Year
Value ($)
1
10,000
20. What will be the value of the car after 10 years?
2
8,000
3
6,400
Summary:
O Gina Wilson (AI Things Algebra. LLC), 2012-2017
Transcribed Image Text:13. 400, 200, 100, ... 14. 1, 5, 25, . 15. -1, -4, -16, .. 16. 729, -243, 81, ... 18. 8, 12, 18, .. 17. 6, -12, 24, .. The table to the left shows a car's value for 3 years after it is purchased. Application 19. Write a rule to represent the car's depreciation. Year Value ($) 1 10,000 20. What will be the value of the car after 10 years? 2 8,000 3 6,400 Summary: O Gina Wilson (AI Things Algebra. LLC), 2012-2017
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