question 5 points 2

what is the 14th term of the arithmetic sequence if $t_{12} = -25$ and $d = 4$?

-17

17

Question

question 5 points 2

what is the 14th term of the arithmetic sequence if $t_{12} = -25$ and $d = 4$?

-17

17

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" ], "new_concepts": [], "current_concepts": [ "Arithmetic Sequences" ] } ## Identify the given values and target Using the *Arithmetic Sequences* knowledge point $$ \begin{aligned} &T_{12} = -25\ &d = 4\ &\text{Target: } T_{14} \end{aligned} $$ ## Relate the terms of the sequence Using the *Arithmetic Sequences* knowledge point $$ \begin{aligned} &T_{14} = T_{12} + 2d \end{aligned} $$ ## Calculate the 14th term Using the *Arithmetic Sequences* knowledge point $$ \begin{aligned} &T_{14} = -25 + 2(4)\ &T_{14} = -25 + 8\ &T_{14} = -17 \end{aligned} $$

(A) -17

(B) 17

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Arithmetic Sequences" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given values and target

Relate the terms of the sequence

Calculate the 14th term

Answer: