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: 12

Answer

Pattern: -6 is added to the previous term. The next two terms: -14, -20

Work Step by Step

The sequence: 10, 4, -2, -8, ... Finding the pattern: Difference between 1st and 2nd term: 2nd term-1st term=Difference 4-10=-6 Difference between 2nd and 3rd term: 3rd term-2nd term=Difference -2-4=-6 Difference between 3rd and 4th term: 4th term-3rd term=Difference -8-(-2)=-6 -6 is being added to the previous term each time. Finding the next two terms: Fifth term= Fourth term - 6 = -8-6 = -14 Sixth term= Fifth term - 6 = -14-6 = -20 Therefore the next two terms are -14 and -20
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