Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 4 - An Introduction to Functions - 4-7 Arithmetic Sequences - Practice and Problem-Solving Exercises: 54

Answer

The sequence is arithmetic. Recursive formula : A(n) = A(n - 1) + 0.6 ; A(1) = 0.3 Explicit formula : A(n) = 0.3 + (n - 1)(0.6)

Work Step by Step

The sequence is arithmetic because there is a common difference between all the terms which is 0.6 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 = 0.9-0.3 D= 0.6 A(1) = 0.3 ; We can now form the equation A(n) = 0.3 + A(n - 1)(0.6) 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 = 0.6 A(1) = 0.3; We can now form the equation A(n) = A(n - 1) +0.6 ; A(1) = 0.3
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