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Lesson 9 Practice Problems Problem Statement
Here is a growing pattern:
a. Describe how the number of dots increases from one stage to the next.
b. Find a recursive or closed form de nition for sequence , so that is the number of dots in Stage .
c. Is a geometric sequence, an arithmetic sequence, or neither? Explain how you know.
Solution
a. Sample Response: From one stage to another, the number of dots doubles. b. Sample Response: for or
c. Sample response: is a geometric sequence, because the same number is multiplied each time to get from one term to the next.
Problem Statement
Here is a growing pattern:
a. The rst gure has 8 segments. Describe how the number of segments grows from one stage to the next.
b. Find a recursive or closed form de nition for sequence , so that is the number of segments in Stage .
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Teacher Guide
Algebra
