9
RCMultiple Choice

The Binomial Theorem — Cumulative exam

Question 9 • EA Pre-Calculus Credit Recovery

Determine the common ratio and find the next three terms of the geometric sequence.8, -20, 50, ...

Answer
A
-2.5; -125, 312.5, -781.25
B
-2.5; -70, 240.6, -642.85
C
2.5; -125, 312.5, -781.25
D
2.5; -70, 240.6, -642.85

Explanation

Divide consecutive terms to find the common ratio: −20 ÷ 8 = −2.5, and 50 ÷ (−20) = −2.5. Multiply each term by −2.5 to continue the sequence: 50(−2.5) = −125, then 312.5, then −781.25. The correct choice is “−2.5; −125, 312.5, −781.25.”

AI-written and checked against the verified answer.

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