type the next number in this sequence:

9, 10, 12, 15, 19, 24, 30,

Question

type the next number in this sequence:

9, 10, 12, 15, 19, 24, 30,

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Sequence Analysis", "First Differences" ], "current_concepts": [ "Sequence Analysis", "First Differences", "Pattern Recognition" ] } ## Analyze the differences between consecutive terms $$ \begin{aligned} 10 - 9 &= 1 \ 12 - 10 &= 2 \ 15 - 12 &= 3 \ 19 - 15 &= 4 \ 24 - 19 &= 5 \ 30 - 24 &= 6 \end{aligned} $$ ## Determine the next difference and calculate the next term $$ \begin{aligned} d &= 7 \ x &= 30 + 7 \ x &= 37 \end{aligned} $$ Type the next number in this sequence: 9, 10, 12, 15, 19, 24, 30, 37 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Pattern Recognition" ] }

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Question

Explanation:

Analyze the differences between consecutive terms

Determine the next difference and calculate the next term

Answer: