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 280: 60

Answer

1. The second term is 4 2. The third term is 0 3. The fourth term is -4 4. The explicit formula is A(n)=8-4(n-1)

Work Step by Step

A(1)=8 1. The second term is A(2)=A(2-1)-4 = A(1)-4 = 8-4 = 4 2. The third term is A(3)=A(3-1)-4 = A(2)-4 = 4-4 = 0 3. The fourth term is A(4)=A(4-1)-4 = A(3)-4 = 0-4 = -4 4. The explicit formula is A(n)=8-4(n-1) Because the sequence is in the form of A(n)=A(1)-d(n-1) and the value of A(1) is 8 and the value of d is -4 as it was derived from the recursive formula and also from the sequence.
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