11
QuizMultiple Choice

Geometric Sequences and Series

Question 11 • EA Pre-Calculus Credit Recovery

Determine the common ratio and find the next three terms of the geometric sequence.i, -1, -i, ...

Answer
A
i; 1, i, -1
B
i; -1, -i, 1
C
-i; -1,- i, 1
D
-i; 1, i, -1

Explanation

Divide the second term by the first to find the common ratio: −1 ÷ i = i. Multiply each term by i to continue the sequence: (−i)i = 1, then 1 · i = i, and i · i = −1. The common ratio is i, and the next three terms are 1, i, −1, which is choice A.

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