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: 9

Answer

Pattern: Add 7 to the previous term Next two terms: 34, 41

Work Step by Step

The sequence: 6, 13, 20, 27, ... Finding the pattern: Difference between 1st and 2nd term: 2nd term-1st term=Difference 13-6=7 Difference between 2nd and 3rd term: 3rd term-2nd term=Difference 20-13=7 Difference between 3rd and 4th term: 4th term-3rd term=Difference 27-20=7 7 is being added to the previous term each time. Finding the next two terms: Fifth term= Fourth term + 7 = 27+7 = 34 Sixth term= Fifth term + 7 = 34+7 = 41 Therefore the next two terms are 34 and 41
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