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: 16

Answer

Pattern: -11 is added to the previous term. The next two terms: 55, 44

Work Step by Step

The sequence: 99, 88, 77, 66,... Finding the pattern: Difference between 1st and 2nd term: 2nd term-1st term=Difference 88-99=-11 Difference between 2nd and 3rd term: 3rd term-2nd term=Difference 77-88=-11 Difference between 3rd and 4th term: 4th term-3rd term=Difference 66-77=-11 -11 is being added to the previous term each time. Finding the next two terms: Fifth term= Fourth term - 11 = 66 - 11 = 55 Sixth term= Fifth term - 11 = 55 - 11 = 44 Therefore the next two terms are 55 and 44
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