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Analyzing Graphs

Question 4 • GA-Algebra: Concepts and Connections CR

Which sequences are geometric? Check all that apply.–2, –4, –6, –8, –10, …16, –8, 4, –2, 1–15, –18, –21.6, –25.92, –31.104, …4, 10.5, 17, 23.5, 30, …625, 125, 25, 5, 1, …

Answer
A
–2, –4, –6, –8, –10, …
B
16, –8, 4, –2, 1
C
–15, –18, –21.6, –25.92, –31.104, …
D
4, 10.5, 17, 23.5, 30, …
E
625, 125, 25, 5, 1, …

Explanation

A sequence is geometric when the ratio between each pair of consecutive terms stays the same. In B, each term is multiplied by −1/2; in C, each term is multiplied by 1.2; and in E, each term is multiplied by 1/5. A and D have constant differences instead, so they are not geometric.

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