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c. Is a geometric sequence, an arithmetic sequence, or neither? Explain how you know.
Solution
a. Sample Response: From one stage to another, 3 additional segments are added. b. Sample Response: for or
c. Sample response: is an arithmetic sequence, because the same number is added each time to get from one term to the next.
Problem Statement
Here is a pattern of growing rectangles:
a. Describe how the rectangle grows from one stage to the next.
b. Find a recursive or closed form de nition for sequence , so that is the number of squares 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, 3 new rows and 1 column are added. b. Sample Response:
c. Sample response: is neither geometric nor arithmetic, because its terms cannot be made from repeatedly multiplying by the same number, nor by repeatedly adding the same number.
Problem Statement
The table shows two sloth populations growing over time.
Unit 1 Lesson 9 Practice Problems 101
