Answer
$x=-\frac{3}{2}$
Work Step by Step
We know that in an arithmetic sequence, the difference of consecutive terms is constant, hence: $(2x+1)-(x+3)=(5x+2)-(2x+1)\\x-2=3x+1\\x-3=3x\\-3=2x\\x=-\frac{3}{2}$
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 12 - Sequences; Induction; the Binomial Theorem - 12.2 Arithmetic Sequences - 12.2 Assess Your Understanding - Page 815: 57
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