a sequence is defined by the recursive function $f(n + 1) = f(n) - 2$. if $f(1) = 10$, what is $f(3)$?

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Question

a sequence is defined by the recursive function $f(n + 1) = f(n) - 2$. if $f(1) = 10$, what is $f(3)$?

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Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Recursive Formulas" ], "new_concepts": [], "current_concepts": [ "Recursive Formulas", "Arithmetic Sequences" ] } ## Calculate the second term $$ \begin{aligned} f(1) &= 10 \ f(2) &= f(1) - 2 \ f(2) &= 10 - 2 = 8 \end{aligned} $$ ## Calculate the third term $$ \begin{aligned} f(3) &= f(2) - 2 \ f(3) &= 8 - 2 = 6 \end{aligned} $$

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{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Recursive Formulas" ] }

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Question

Explanation:

Calculate the second term

Calculate the third term

Answer: