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: 11

Answer

Pattern: 4 is added to the previous term. The next two terms: 18, 22

Work Step by Step

The sequence: . 2, 6, 10, 14, ... Finding the pattern: Difference between 1st and 2nd term: 2nd term-1st term=Difference 6-2=4 Difference between 2nd and 3rd term: 3rd term-2nd term=Difference 10-6=4 Difference between 3rd and 4th term: 4th term-3rd term=Difference 14-10=4 4 is being added to the previous term each time. Finding the next two terms: Fifth term= Fourth term + 4 = 14 + 4 = 18 Sixth term= Fifth term + 4 = 18 + 4 = 22 Therefore the next two terms are 18 and 22.
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