Algebra 1 7-8 Geometric Sequences
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4.5 (1 rating)
by Matthew Richardson
| 30 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.
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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
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Problem 1 Got It?
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Problem 1 Got It?
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Problem 2 Got It?
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Problem 2 Got It?
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Problem 3 Got It? Write a recursive formula and an explicit formula for the sequence. Find the 8th term of the sequence.

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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.
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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"
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Vocabulary Review: Write the ratio in simplest form.
Use this format: 1/2
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Extend the sequences on the canvas.
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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.
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Critical Thinking: Describe the similarities and differences between arithmetic and geometric sequences.
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Review Lesson 2-10: The value 25 is increased by 50%. What is the new value? Enter only an exact decimal for your response.
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Review Lesson 2-3: Match each solution with the appropriate equation(s).
  • x = -2
  • x = 16
  • x = -8
  • 3x + 7 = 2x - 1
  • x รท 2 + 5 = -x + 2
  • 4(x - 3) = 20 + 2x
  • x + -8 = 2x
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Review Lesson 2-10: A price changes from $40 to $70. What is the percent change?
43%
133%
175%
75%
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Review Lesson 1-8: Simplify the expression.
Include a space on each side of operation symbols in your response.
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Review Lesson 1-8: Simplify the expression.
Include a space on each side of operation symbols in your response.
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Review Lesson 1-8: Simplify the expression.
Include a space on each side of operation symbols in your response.
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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 __?__.
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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
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10 pts
Vocabulary Review: Write the ratio in simplest form.
Use this format: 1/2
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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
10 pts
Reflection: Math Success
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