what is the next number in the series: 2, 5, 11, 23, ___?

25
47

Question

what is the next number in the series: 2, 5, 11, 23, ___?

25
47

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Number Series", "Recursive Sequences" ], "current_concepts": [ "Number Series", "Recursive Sequences" ] } ## Analyze the differences between consecutive terms $$ \begin{aligned} 5 - 2 &= 3 \ 11 - 5 &= 6 \ 23 - 11 &= 12 \end{aligned} $$ ## Identify the pattern of the differences $$ \begin{aligned} 3 \times 2 &= 6 \ 6 \times 2 &= 12 \end{aligned} $$ ## Calculate the next term in the series $$ \begin{aligned} 12 \times 2 &= 24 \ 23 + 24 &= 47 \end{aligned} $$

25

47

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Number Series" ] }

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QUESTION IMAGE

Question

Explanation:

Analyze the differences between consecutive terms

Identify the pattern of the differences

Calculate the next term in the series

Answer: