Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 4 - An Introduction to Functions - 4-7 Sequences and Functions - Practice and Problem-Solving Exercises: 27

Answer

Yes it is an arithmetic sequence, and the common difference is -0.5

Work Step by Step

The difference between consecutive terms is constant in an arithmetic sequence. The sequence: 15, 14.5, 14, 13.5, 13, ... Finding the pattern: Difference between 1st and 2nd term: 2nd term-1st term=Difference 14.5-15= -0.5 Difference between 2nd and 3rd term: 3rd term-2nd term=Difference 14-14.5= -0.5 Difference between 3rd and 4th term: 4th term-3rd term=Difference 13.5-14= -0.5 Difference between 4th and 5th term: 5th term-4th term=Difference 13-13.5= -0.5 The common difference is -0.5 and it is constant thus this is an arithmetic sequence.
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