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: 56



Work Step by Step

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