Algebra 1 7-8 Complete Lesson: Geometric Sequences
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Last updated almost 6 years ago
31 Nsɛmmisa
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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
Problem 1 Got It?
Problem 1 Got It?
Problem 1 Got It?
Problem 1 Got It?
Problem 2 Got It?
Problem 2 Got It?
Problem 3 Got It? Write a recursive formula and an explicit formula for the sequence. Find the 8th term of the sequence.
Problem 3 Got It? Write a recursive formula and an explicit formula for the sequence. Find the 8th term of the sequence.
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.
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"
Vocabulary Review: Write the ratio in simplest form.
Use fraction form.
Write the explicit and recursive formulas for each sequence on the canvas.
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.
Critical Thinking: Describe the similarities and differences between arithmetic and geometric sequences.
Review Lesson 2-10: The value 25 is increased by 50%. What is the new value? Enter only an exact decimal for your response.
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
Review Lesson 2-10: A price changes from $40 to $70. What is the percent change?
Review Lesson 1-8: Simplify the expression.
Review Lesson 1-8: Simplify the expression.
Review Lesson 1-8: Simplify the expression.
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,...
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 __?__.
Vocabulary Review: Write the ratio in simplest form.
Use this format: 1/2
Vocabulary Review: Write the ratio in simplest form.
Use this format: 1/2
Vocabulary Review: Write the ratio in simplest form.
Use this format: 1/2
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,...
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.
Reflection: Math Success