type the next number in this sequence:

3, 3, 4, 6, 9,

Question

type the next number in this sequence:

3, 3, 4, 6, 9,

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" ] } ## Analyze the differences between consecutive terms $$ \begin{aligned} 3 - 3 &= 0 \ 4 - 3 &= 1 \ 6 - 4 &= 2 \ 9 - 6 &= 3 \end{aligned} $$ ## Determine the pattern and find the next term $$ \begin{aligned} d_n &= n - 1 \quad (0, 1, 2, 3, \dots) \ x_6 &= x_5 + 4 \ x_6 &= 9 + 4 = 13 \end{aligned} $$ Type the next number in this sequence: 3, 3, 4, 6, 9, 13 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Sequence Analysis" ] }

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QUESTION IMAGE

Question

Explanation:

Analyze the differences between consecutive terms

Determine the pattern and find the next term

Answer: