Answer
$B$
Work Step by Step
We know that the general formula of an arithmetic sequence is given by
$a_n= a_1+(n-1) d$ ...(1)
Here, we have
$a_{13}-a_6=7d$
$7d=-42 \implies d=-6$
Equation (1) gives: $a_n=-6n+30$
Hence, our answer is $B$.
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 12 Sequences and Series - 12.2 Analyze Arithmetic Sequences and Series - 12.2 Exercises - Skill Practice - Page 807: 39
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