51
QuizMultiple Choice

Topic Test — Cumulative exam

Question 51 • EA Pre-Calculus Credit Recovery

Determine the common ratio and find the next three terms of the geometric sequence.-7, 3.5, -1.75 ...

Answer
A
-0.5; 0.450, -0.8655, 0.45985
B
-0.5; 0.875, -0.4375, 0.21875
C
-1.5; 0.450, -0.8655, 0.45985
D
-1.5; 0.875, -0.4375, 0.21875

Explanation

Divide each term by the one before it: 3.5 ÷ (−7) = −0.5, and −1.75 ÷ 3.5 = −0.5, so the common ratio is −0.5. Multiply −1.75 by −0.5 to get 0.875, then continue multiplying by −0.5 to get −0.4375 and 0.21875. Choice B gives the correct ratio and next three terms.

AI-written and checked against the verified answer.

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