Answer
See below.
Work Step by Step
If $x_n=2x_{n-1}$ and $x_0=1$, then:
$x_1=2x_0=2\cdot1=2$
$x_2=2x_1=2\cdot2=4$
$x_3=2x_2=2\cdot4=8$
$x_4=2x_3=2\cdot8=16$
$x_5=2x_4=2\cdot16=32$
$x_6=2x_5=2\cdot32=64$
Linear Algebra: A Modern Introduction
by Poole, David
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: 45
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