the formula for calculating the minimum number of moves to transfer a tower of size $n$ is:

\2^n - 1\

minimum steps to move a tower of size 4:

that is: $n = 4$

how many steps to move a tower of size 9:

that is: $n = 9$

Question

the formula for calculating the minimum number of moves to transfer a tower of size $n$ is:

\2^n - 1\

minimum steps to move a tower of size 4:

that is: $n = 4$

how many steps to move a tower of size 9:

that is: $n = 9$

Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "table_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Exponentiation", "Algebraic Evaluation" ], "new_concepts": [ "Tower of Hanoi" ], "current_concepts": [ "Exponentiation", "Algebraic Evaluation", "Tower of Hanoi" ] } ## Evaluate the formula for n = 4 $$ 2^4 - 1 = 16 - 1 = 15 $$ ## Evaluate the formula for n = 9 $$ 2^9 - 1 = 512 - 1 = 511 $$ | No. | Answer | |---|---| | A | 15 | | B | 511 | { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Algebraic Evaluation" ] }

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Question

Explanation:

Evaluate the formula for n = 4

Evaluate the formula for n = 9

Answer: