Linear Algebra: A Modern Introduction

Published by Cengage Learning
ISBN 10: 1285463242
ISBN 13: 978-1-28546-324-7

Chapter 4 - Eigenvalues and Eigenvectors - 4.6 Applications and the Perron-Frobenius Theorem - Exercises 4.6 - Page 361: 44

Answer

See below.

Work Step by Step

If $a_n=\frac{a_{n-1}}{2}$ and $a_1=128$, then: $a_2=\frac{a_1}{2}=\frac{128}{2}=64$ $a_3=\frac{a_2}{2}=\frac{64}{2}=32$ $a_4=\frac{a_3}{2}=\frac{32}{2}=16$ $a_5=\frac{a_4}{2}=\frac{16}{2}=8$ $a_6=\frac{a_5}{2}=\frac{8}{2}=4$ $a_7=\frac{a_6}{2}=\frac{4}{2}=2$
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