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 - Standardized Test Prep: 58

Answer

The sequence is arithmetic. Recursive formula : A(n) = A(n - 1) - 15 ; A(1) = 46 Explicit formula : A(n) = 46 + (n - 1)(-15)

Work Step by Step

The sequence is arithmetic because there is a common difference between all the terms which is -15 Explicit formula- For this formula we need to find the d value and A(1) and we can find the d value by subtracting the second term from the first. D = 31 - 46 D= - 15 A(1) = 46 ; We can now form the equation A(n) = 46 + A(n - 1)(-15) Recursive- For this formula, we need the common difference and A(1) and since the common difference is the same as the d value in the explicit formula, we can use that. Common difference = -15 A(1) = 46; We can now form the equation A(n) = A(n - 1) - 15 ; A(1) = 46
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