7
QuizMultiple Choice

Geometric Sequences and Series

Question 7 • EA Pre-Calculus Credit Recovery

Determine the common ratio and find the next three terms of the geometric sequence.10, 2, 0.4, ...

Answer
A
0.2; -0.4, -2, -10
B
0.02; -0.4, -2, -10
C
0.02; 0.08, 0.016, 0.0032
D
0.2; 0.08, 0.016, 0.0032

Explanation

Divide each term by the one before it: 2 ÷ 10 = 0.2 and 0.4 ÷ 2 = 0.2, so the common ratio is 0.2. Multiply 0.4 by 0.2 repeatedly to get the next three terms: 0.08, 0.016, and 0.0032. This matches choice d, “0.2; 0.08, 0.016, 0.0032.”

AI-written and checked against the verified answer.

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