consider the arithmetic sequence $27, 40, 53, 66, 79, \dots$

what rule can be used to find the next term of the sequence?
$a_n = a_{n-1} - 79$
$a_n = a_{n-1} - 13$
$a_n = a_{n-1} + 13$
$a_n = a_{n-1} + 79$

the next two terms are and

Question

consider the arithmetic sequence $27, 40, 53, 66, 79, \dots$

what rule can be used to find the next term of the sequence?
$a_n = a_{n-1} - 79$
$a_n = a_{n-1} - 13$
$a_n = a_{n-1} + 13$
$a_n = a_{n-1} + 79$

the next two terms are   and

Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Arithmetic Sequences", "Recursive Formulas" ], "new_concepts": [], "current_concepts": [ "Arithmetic Sequences", "Recursive Formulas" ] } ## Find the common difference Using the *Arithmetic Sequences* knowledge point $$ d = 40 - 27 = 13 $$ ## Determine the recursive rule Using the *Recursive Formulas* knowledge point $$ a_n = a_{n-1} + 13 $$ ## Calculate the next two terms Using the *Arithmetic Sequences* knowledge point $$ \begin{aligned} a_6 &= 79 + 13 = 92\ a_7 &= 92 + 13 = 105 \end{aligned} $$ ## Question 1 (A) $a_n = a_{n-1} - 79$

(B) $a_n = a_{n-1} - 13$ (C) $a_n = a_{n-1} + 13$ (D) $a_n = a_{n-1} + 79$ ## Question 2 The next two terms are 92 and 105.

{ "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Algebra", "Arithmetic Sequences" ] }

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QUESTION IMAGE

Question

Explanation:

Find the common difference

Determine the recursive rule

Calculate the next two terms

Answer:

Question 1

Question 2