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: 13

Answer

Pattern: -2 is added to the previous term. The next two terms: 5, 3

Work Step by Step

The sequence: 13, 11, 9, 7,... Finding the pattern: Difference between 1st and 2nd term: 2nd term-1st term=Difference 11-13=-2 Difference between 2nd and 3rd term: 3rd term-2nd term=Difference 9-11=-2 Difference between 3rd and 4th term: 4th term-3rd term=Difference 7-9=-2 -2 is being added to the previous term each time. Finding the next two terms: Fifth term= Fourth term - 2 = 7- 2 = 5 Sixth term= Fifth term - 2 = 5- 2 = 3 Therefore the next two terms are 5 and 3
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