13. Is the sequence {a} a solution of the recurrence relation an = 8an-1-16an-2 if a) a = 0? c) a = 2¹? an e) an = n4"? g) a = (-4)"? b) a₁ = 1? d) a₁ = 4"? an f) a= 2.4" + 3n4"? h) a = n²4"?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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part G H

13. Is the sequence {a} a solution of the recurrence relation
an = 8an-1-16a₁-2
if
a) a₁ = 0?
c) a₁ = 2¹?
e) an =
g) a₁ = (-4)"?
= n4"?
b) an
= 1?
d) a = 4"?
=
f) an 2.4" + 3n4"?
a = n²4¹?
h)
Transcribed Image Text:13. Is the sequence {a} a solution of the recurrence relation an = 8an-1-16a₁-2 if a) a₁ = 0? c) a₁ = 2¹? e) an = g) a₁ = (-4)"? = n4"? b) an = 1? d) a = 4"? = f) an 2.4" + 3n4"? a = n²4¹? h)
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