what is the explicit rule for the arithmetic sequence shown in the graph?

$a_n = -23 + 2(n-1)$
$a_n = -2.75 + 0.5(n-1)$
$a_n = 9.5 + 2(n-1)$

Question

what is the explicit rule for the arithmetic sequence shown in the graph?

$a_n = -23 + 2(n-1)$
$a_n = -2.75 + 0.5(n-1)$
$a_n = 9.5 + 2(n-1)$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Arithmetic Sequences", "Arithmetic Sequence Explicit Formula" ], "new_concepts": [], "current_concepts": [ "Arithmetic Sequences", "Arithmetic Sequence Explicit Formula" ] } ## Identify the first term and common difference Using the *Arithmetic Sequences* knowledge point $$ \begin{aligned} &a_1 = 9.5\ &d = a_2 - a_1 = 11.5 - 9.5 = 2 \end{aligned} $$ ## Write the explicit formula Using the *Arithmetic Sequence Explicit Formula* knowledge point $$ \begin{aligned} &a_n = a_1 + d(n-1)\ &a_n = 9.5 + 2(n-1) \end{aligned} $$

$a_n = -23 + 2(n-1)$

$a_n = -2.75 + 0.5(n-1)$

$a_n = 9.5 + 2(n-1)$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Arithmetic Sequence Explicit Formula" ] }

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Question

Explanation:

Identify the first term and common difference

Write the explicit formula

Answer: