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 - Mixed Review: 62

Answer

1. The second term is -2 2. The third term is -4 3. The fourth term is -6 4. The explicit formula is A(n)=-2(n-1)

Work Step by Step

A(1)=0 A(n)=A(n-1)-2 1. The second term is A(2)=A(2-1) -2 = A(1)-2 = 0-2 = -2 2. The third term is A(3)=A(3-1)-2 = A(2)-2 = -2 -2= -4 3. The fourth term is A(4)=A(4-1)-2 = A(3)-2 = -4 -2 = -6 4. The explicit formula is A(n)=-2(n-1) Because the sequence is in the form of A(n)=A(1)-d(n-1) and the value of A(1) is 0 and the value of d is -2 as it was derived from the recursive formula and also from the sequence as the value of the terms decreases by 2 as you move forward.
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