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: 43


See below.

Work Step by Step

If $x_n=2x_{n-1}$ and $x_0=1$, then: $x_1=2x_0=2\cdot1=2$ $x_2=2x_1=2\cdot2=4$ $x_3=2x_2=2\cdot4=8$ $x_4=2x_3=2\cdot8=16$ $x_5=2x_4=2\cdot16=32$ $x_6=2x_5=2\cdot32=64$
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