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{ "quality": "incomplete", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Arithmetic Sequences" ], "new_concepts": [], "current_concepts": [ "Arithmetic Sequences", "Sequence Term Calculation" ] } ## Identify the sequence pattern from the options $$ \begin{aligned} &\text{Let the sequence be } a_1, a_2, a_3, \dots \ &\text{Option 1: Replace } 26 \text{ with } 24 \implies \dots, 24, 30, 36, 42, \dots \quad (\text{Arithmetic sequence with } d = 6) \ &\text{Option 2: Replace } 26 \text{ with } 28 \implies \dots, 28, 30, 36, 42, \dots \quad (\text{No consistent difference}) \ &\text{Option 3: Replace } 36 \text{ with } 34 \implies \dots, 26, 30, 34, 42, \dots \quad (\text{No consistent difference}) \ &\text{Option 4: Replace } 42 \text{ with } 40 \implies \dots, 26, 30, 36, 40, \dots \quad (\text{No consistent difference}) \end{aligned} $$ ## Verify the correct arithmetic sequence $$ \begin{aligned} &\text{If } 26 \text{ is replaced by } 24\text{, the terms are: } 24, 30, 36, 42 \ &30 - 24 = 6 \ &36 - 30 = 6 \ &42 - 36 = 6 \ &\text{This forms a perfect arithmetic sequence with a common difference of } 6. \end{aligned} $$

(A) 26 should be replaced by 24

(B) 26 should be replaced by 28

(C) 36 should be replaced by 34

(D) 42 should be replaced by 40

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Arithmetic Sequences" ] }

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Explanation:

Identify the sequence pattern from the options

Verify the correct arithmetic sequence

Answer: