Algebra 1 7-8 Complete Lesson: Geometric Sequences
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4.5 (1 rating)
by Matthew Richardson
| 31 Questions
Note from the author:
A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU. The outlined content above was added from outside of Formative. 1
1
10 pts
Solve It! Imagine working part time at a clothing store. Each week a coat doesn't sell, its price is marked down 20%. What will the sale price for the coat be after three weeks of not selling? Enter the dollar amount in this form: \$71.23     2
2
10 pts
Problem 1 Got It?
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D 3
3
10 pts
Problem 1 Got It?
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D 4
4
10 pts
Problem 1 Got It?
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D 5
5
10 pts
Problem 1 Got It?
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D  6
6
10 pts
Problem 2 Got It?
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D 7
7
10 pts
Problem 2 Got It?
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8
10 pts
Problem 3 Got It? Write a recursive formula and an explicit formula for the sequence. Find the 8th term of the sequence.

9
10 pts
Problem 3 Got It? Write a recursive formula and an explicit formula for the sequence. Find the 8th term of the sequence. 10
20 pts
Problem 4 Got It? A geometric sequence has an initial value of 2 and a common ratio of 3. Write a function to represent the sequence. Graph the function. Include all relevant graph detail.    11
11
10 pts
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12
10 pts
Is the following a geometric sequence? If so, find the common ratio.
Write your answer in one of these formats: "yes; 1/2" or "no" 13
13
10 pts
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14
10 pts
Vocabulary Review: Write the ratio in simplest form.
Use fraction form.
15
40 pts
Write the explicit and recursive formulas for each sequence on the canvas. 16
10 pts
Error Analysis: A friend provides the following recursive formula for the geometric sequence 1, -1, 1, -1, 1, ...
Explain your friend's error and give the correct recursive formula for the sequence.
17
10 pts
Critical Thinking: Describe the similarities and differences between arithmetic and geometric sequences. 18
10 pts
Review Lesson 2-10: The value 25 is increased by 50%. What is the new value? Enter only an exact decimal for your response.
19
10 pts
Review Lesson 2-3: Match each solution with the appropriate equation(s).
• x = -2
• x = 16
• x = -8
• 3x + 7 = 2x - 1
• x ÷ 2 + 5 = -x + 2
• 4(x - 3) = 20 + 2x
• x + -8 = 2x
20
10 pts
Review Lesson 2-10: A price changes from \$40 to \$70. What is the percent change?
133%
175%
75%
43%
21
10 pts
Review Lesson 1-8: Simplify the expression.

22
10 pts
Review Lesson 1-8: Simplify the expression.

23
10 pts
Review Lesson 1-8: Simplify the expression.

24
10 pts
Review Lesson 4-7: Write the recursive and explicit formulas for each arithmetic sequence.

0, 9, 18, 27,...

5, 3, 1, -1,...

-7, -3, 1, 5,... 25
10 pts
Vocabulary Review: Complete the sentence.
• greatest common factor
• least common multiple
• To write a ratio in simplest form, divide the numerator and denominator by their __?__.
26
10 pts
Vocabulary Review: Write the ratio in simplest form.
Use this format: 1/2
1/4
1/2
3/4
4/3
27
10 pts
Vocabulary Review: Write the ratio in simplest form.
Use this format: 1/2
28
10 pts
Vocabulary Review: Write the ratio in simplest form.
Use this format: 1/2 29
10 pts
Use Your Vocabulary: Identify the starting value and common ratio for each geometric sequence.
• Starting value: -2
• Common ratio: -2
• Starting value: 1
• Common ratio: 2
• Starting value: 2
• Common ratio: 5
• Common ratio: -1
• 2, 4, 8, 16, 32,...
• 1, -1, 1, -1, 1,...
• 1, 5, 25, 125, 625,...
• -2, 4, -8, 16, -32,...
30
100 pts
Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.
31
10 pts
Reflection: Math Success
Add to my formatives list

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