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 728: 41

Answer

The sequence is arithmetic. Common difference $d=-3.45$.

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. $a_{2}-a_{1}=10.55-14=-3.45$ $a_{3}-a_{2}=7.1-10.55=-3.45$ $a_{4}-a_{3}=3.65-7.1=-3.45$ $a_{5}-a_{4}=0.2-3.65=-3.45$ $a_{6}-a_{5}=-3.25-0.2=-3.45$ The difference between each term and preceding term is constant and therefore the sequence is arithmetic. Common difference $d=-3.45$
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