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Lesson 8 Practice Problems
Problem Statement
Here is the recursive formula for a sequence: . The closed form of this formula is .
a. Explain how you know that these formulas represent the same sequence.
b. Select either formula to calculate , and explain why you chose to use that formula.
Solution
a. Sample response: These formulas represent the same sequence because they both start at 19 and decrease by 6 each time.
b. . Sample response: I used the closed form because it is a direct method to determine .
Problem Statement
Here is an image of a triangle showing how it changes with each step, along with a table:
step number,
number of shaded triangles,
1
3
2
9
3
27
4
81
5
243
a. Describe how the number of shaded triangles changes with each step. b. Explain why does not make sense in this scenario.
c. Write a recursive rule for .
d. Write a closed form rule for .
90
Teacher Guide
Algebra
