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: 63

Answer

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

Work Step by Step

We are given: $A(1)=0$ $A(n)=A(n-1)-2$ 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 $A(n)=0+(n-1)(-2)$
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