Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 12 Sequences and Series - 12.5 Use Recursive Rules with Sequences and Functions - 12.5 Exercises - Problem Solving - Page 832: 43a


See below.

Work Step by Step

According to the text of the exercise, the recursive rule is: $a_1=5000$ and $a_n=0.8\cdot a_{n-1}+500$. Thus $a_2=0.8(a_1)+500=0.8(5000)+500=4500$ $a_3=0.8(a_2)+500=0.8(4500)+500=4100$ $a_4=0.8(a_3)+500=0.8(4100)+500=3780$ $a_5=0.8(a_4)+500=0.8(3780)+500=3524$.
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