Answer
See below.
Work Step by Step
If $x_n=x_{n-1}-x_{n-2}$ and $x_0=1,x_1=1$, then:
$x_2=x_1-x_0=1-0=1$
$x_3=x_2-x_1=1-1=0$
$x_4=x_3-x_2=0-1=-1$
$x_5=x_4-x_3=-1-0=-1$
$x_6=x_5-x_4=-1-(-1)=0$
$x_7=x_6-x_5=0-(-1)=1$
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: 47
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