type the next number in this sequence:

7, 8, 10, 13, 17, 22,

Question

type the next number in this sequence:

7, 8, 10, 13, 17, 22,

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": [ "Arithmetic Sequences", "Pattern Recognition" ], "current_concepts": [ "Arithmetic Sequences", "Pattern Recognition" ] } ## Find the differences between consecutive terms $$ \begin{aligned} 8 - 7 &= 1 \ 10 - 8 &= 2 \ 13 - 10 &= 3 \ 17 - 13 &= 4 \ 22 - 17 &= 5 \end{aligned} $$ ## Determine the next difference and calculate the next term $$ \begin{aligned} d &= 6 \ x &= 22 + 6 \ x &= 28 \end{aligned} $$ Type the next number in this sequence: 7, 8, 10, 13, 17, 22, 28 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Arithmetic Sequences" ] }

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QUESTION IMAGE

Question

Explanation:

Find the differences between consecutive terms

Determine the next difference and calculate the next term

Answer: