Elementary Linear Algebra 7th Edition

Published by Cengage Learning
ISBN 10: 1-13311-087-8
ISBN 13: 978-1-13311-087-3

Chapter 7 - Eigenvalues and Eigenvectors - Projects - 2 The Fibonacci Sequence - Page 388: 1

Answer

See below.

Work Step by Step

The first 12 terms of the Fibonacci Sequence are calculated as follows: $x_1=1,x_2=1,x_3=1+1=2,x_4=1+2=3\\x_5=2+3=5,x_6=3+5=8,x_7=5+8=13,x_8=8+13=21\\x_9=13+21=34,x_{10}=21+34=55,x_{11}=34+55=89,x_{12}=55+89=134$
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