Answer
$a_{14}=59$
Work Step by Step
We have to find 14th term of the arithmetic sequence:
$-6, -1, 4, 9, . . .$
$$a_n=a_1+(n-1)d$$
$$n=14, \quad a_1=-6, \quad d=-1-(-6)=5$$
$$a_{14}=-6+5\cdot(14-1)$$
$$a_{14}=-6+5\cdot13$$
$$a_{14}=59$$
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 14 - Sequences, Series, and the Binomial Theorem - Mid-Chapter Review - Guided Solutions - Page 915: 1
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