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 - Page 277: 28

Answer

This is not an arithmetic sequence.

Work Step by Step

The difference between consecutive terms is constant in an arithmetic sequence. The sequence: 4, 4.4, 4.44, 4.444, ... Finding the pattern: Difference between 1st and 2nd term: 2nd term-1st term=Difference 4.4-4= 0.4 Difference between 2nd and 3rd term: 3rd term-2nd term=Difference 4.44-4.4= 0.04 Difference between 3rd and 4th term: 4th term-3rd term=Difference 4.444-4.44= 0.004 The common difference is not constant and thus this is not an arithmetic sequence.
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