15. What is the solution of the recurrence relation a, = -2an-1 + 3an-2 with a, = 12 and a1 :-8? a) a, = () ()" + () ( b) a, = (-1") - (,)" +(~") V17-11 V17+11 -7+V17) 2/17 '2/8-17 2/17 VB+17 2 V8 2 c) an = 5 · 3" +7•(-1)" d) an = 5 · (-3)" + 7 e) an = 5 · (-3)" + 7 · (-1)" %3D

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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What is the solution of the recurrence relation

15. What is the solution of the recurrence relation an = -2an-1 + 3an-2 with a, = 12
and a, = -8?
n
n
a) a, = () : (" + () ("
(V17+11)
2V17
2V8+17
V17-11
7+V17
2V17
(2V8-
2
b) an = () · ()
c) an = 5· 3" + 7·(-1)"
d) an = 5· (-3)" + 7
e) an = 5 · (-3)" + 7 · (-1)"
5+y8
V8
Transcribed Image Text:15. What is the solution of the recurrence relation an = -2an-1 + 3an-2 with a, = 12 and a, = -8? n n a) a, = () : (" + () (" (V17+11) 2V17 2V8+17 V17-11 7+V17 2V17 (2V8- 2 b) an = () · () c) an = 5· 3" + 7·(-1)" d) an = 5· (-3)" + 7 e) an = 5 · (-3)" + 7 · (-1)" 5+y8 V8
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