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 - Lesson Check: 5

Answer

Explicit Formula is A(n)=9-2(n-1) Recursive Formula is A(1)=9 ; A(n)=A(n-1)-2

Work Step by Step

1. The Explicit Formula is A(n)=9-2(n-1) because the explicit formula uses the formula A(n)=A(1)+(n-1)d and in this case A(1) equals 9 as it is first term in the sequence and d is -2 because the values in the sequence are decreasing by 2. 2. The Recursive Formula is A(1)=9 ; A(n)=A(n-1)-2 because it represents A(n) as the value of the nth term and uses A(n-1) to represent the value of the previous term. The -2 represents the amount with which the nth term differs from the previous term.
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