type the next number in this sequence:

3, 10, 18, 27, 37, 48,

Question

type the next number in this sequence:

3, 10, 18, 27, 37, 48,

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Pattern Recognition", "First Differences" ], "new_concepts": [], "current_concepts": [ "Pattern Recognition", "First Differences", "Sequence Analysis" ] } ## Calculate the differences between consecutive terms $$ \begin{aligned} 10 - 3 &= 7 \ 18 - 10 &= 8 \ 27 - 18 &= 9 \ 37 - 27 &= 10 \ 48 - 37 &= 11 \end{aligned} $$ ## Determine the next difference and calculate the next term $$ \begin{aligned} d &= 12 \ x &= 48 + 12 \ x &= 60 \end{aligned} $$ Type the next number in this sequence: 3, 10, 18, 27, 37, 48, 60 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Sequence Analysis" ] }

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Question

Explanation:

Calculate the differences between consecutive terms

Determine the next difference and calculate the next term

Answer: