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 - Page 279: 41

Answer

A(n) = 0.3 + (n - 1)(-0.3)

Work Step by Step

The formula for an explicit expression is A(n) = A(1) + (n - 1)(d) (d represents the common difference) All of the missing pieces in this equation are provided in the recursive equation in the question where the d value is the common difference and A(1) next to the equation. D = -0.3 A(1) = 0.3 After we plug this in the explicit expression, we get the formula A(n) = 0.3 + (n - 1)(-0.3)
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