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 - Lesson Check - Page 277: 4


The sequence is arithmetic and the common difference is 9.

Work Step by Step

When a pattern is observed in the sequence the sequence is said to be arithmetic. In an arithmetic sequence, the difference between consecutive terms is constant. The sequence is given: 11, 20, 29, 38, ... Difference of first and second term: 20-11=9 Difference of second and third term: 29-20=9 Difference of third and fourth term: 38-29=9 Therefore the sequence is arithmetic as the common difference of the consecutive terms is constant which is 9.
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