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: 55

Answer

The sequence is arithmetic Recursive formula - A(n) = A(n - 1) - 4 ; A(1) = -3 Explicit formula = A(n) = -3 + (n - 1)(-4)

Work Step by Step

The sequence is arithmetic because there is a common difference between all the terms which is -4 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 = -7 - ( -3 ) D = -7 + 3 D = -4 A(1) = -3 ; We can now form the equation A(n) = -3 + A(n - 1)(-4) 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 = -4 A(1) = 0.3; We can now form the equation A(n) = A(n - 1) -4 ; A(1) = -3
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