type the next number in this sequence:

2, 5, 9, 14, 20,

Question

type the next number in this sequence:

2, 5, 9, 14, 20,

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": [ "Quadratic Sequences" ], "current_concepts": [ "Pattern Recognition", "First Differences", "Quadratic Sequences" ] } ## Calculate differences between consecutive terms $$ \begin{aligned} 5 - 2 &= 3 \ 9 - 5 &= 4 \ 14 - 9 &= 5 \ 20 - 14 &= 6 \end{aligned} $$ ## Determine the next difference in the pattern $$ d = 7 $$ ## Calculate the next term in the sequence $$ 20 + 7 = 27 $$ Type the next number in this sequence: 2, 5, 9, 14, 20, 27 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Quadratic Sequences" ] }

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Question

Explanation:

Calculate differences between consecutive terms

Determine the next difference in the pattern

Calculate the next term in the sequence

Answer: