Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 11 - 11.1 - Sequences and Series - 11.1 Exercises - Page 778: 55


$a_0=1$ $a_1=2$ $a_2=2$ $a_3=3$ $a_4=4$

Work Step by Step

$a_0=1$ $a_1=2$ $a_k=a_{k-2}+\frac{1}{2}a_{k-1}$ $a_2=a_0+\frac{1}{2}a_1=1+\frac{1}{2}·2=2$ $a_3=a_1+\frac{1}{2}a_2=2+\frac{1}{2}·2=3$ $a_4=a_2+\frac{1}{2}a_3=3+\frac{1}{2}·2=4$
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