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{ "quality": "blurry", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Common Ratio" ], "new_concepts": [], "current_concepts": [ "Geometric Sequences", "Common Ratio" ] } ## Identify the terms of the geometric sequence Using the *Common Ratio* knowledge point $$ \begin{aligned} &a_1 = -2\ &a_2 = 4\ &a_3 = -8\ &a_4 = 16\ &a_5 = -32 \end{aligned} $$ ## Calculate the common ratio Using the *Common Ratio* knowledge point $$ r = \frac{a_2}{a_1} = \frac{4}{-2} = -2 $$

(A) $-\frac{1}{2}$

(B) $\frac{1}{2}$

(C) $-2$

(D) $2$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Common Ratio" ] }

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Explanation:

Identify the terms of the geometric sequence

Calculate the common ratio

Answer: