Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 9 - Conic Sections, Sequences, and Series - 9.3 Arithmetic Sequences - 9.3 Exercises - Page 727: 35

Answer

The sequence is arithmetic. Common difference $d=4$.

Work Step by Step

We compute the difference between each term and the preceding term. If the difference is same, then the sequence is arithmetic. $a_{2}-a_{1}=16-12=4$ $a_{3}-a_{2}=20-16=4$ $a_{4}-a_{3}=24-20=4$ $a_{5}-a_{4}=28-24=4$ $a_{6}-a_{5}=32-28=4$ The common difference $d=4$ is constant and therefore the sequence is arithmetic.
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