in the series: 2, 5, 11, 23, _ _?

25
47
56
67

Question

in the series: 2, 5, 11, 23, _ _?

25
47
56
67

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Number Series", "Recursive Sequences" ], "new_concepts": [], "current_concepts": [ "Number Series", "Recursive Sequences" ] } ## Analyze the given sequence $$ 2, \quad 5, \quad 11, \quad 23, \quad \dots $$ ## Determine the recursive pattern $$ \begin{aligned} 5 &= 2 \times 2 + 1 \ 11 &= 5 \times 2 + 1 \ 23 &= 11 \times 2 + 1 \end{aligned} $$ ## Calculate the next term $$ 23 \times 2 + 1 = 46 + 1 = 47 $$

(A) 25

(B) 47

(C) 56

(D) 67

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

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QUESTION IMAGE

Question

Explanation:

Analyze the given sequence

Determine the recursive pattern

Calculate the next term

Answer: