Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 11 - Sequences; Induction; the Binomial Theorem - Section 11.2 Arithmetic Sequences - 11.2 Assess Your Understanding - Page 835: 55



Work Step by Step

In order to make the terms $x+3$, $2x+1$ and $5x+2$ consecutive terms in an arithmetic sequence, we must have a common difference between the terms. For this, we have: $(2x+1)-(x+3) =(5x+2) -(2x+1)$ This yields: $x-2=3x+1$ or, $2x=-3$ or, $x=\dfrac{-3}{2}$
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