8. Find a recurrence relation for the number of ternary strings of length n that do not contain three consecutive 0's. 2an-1 + 2an-2 b) an = 3an-1 + 3an-2 c) an = 2an-1 + 2an-2 + 2an-3 d) an = an-1 + an-2 + An-3 e) an = 3an-2 + 2an-3 a) an = %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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8. Please look at the picture carefully and find the answer from multiple choice.
8. Find a recurrence relation for the number of ternary strings of length n that do not
contain three consecutive 0's.
a) an = 2an-1 + 2an-2
b) а, 3 Зап-1 + Зал-2
c) an =
d) аn 3D аn-1 +an-2
e) а, 3D Зап-2 + 2аn-з
2an-1 + 2an-2 + 2an-3
+ An-3
Transcribed Image Text:8. Find a recurrence relation for the number of ternary strings of length n that do not contain three consecutive 0's. a) an = 2an-1 + 2an-2 b) а, 3 Зап-1 + Зал-2 c) an = d) аn 3D аn-1 +an-2 e) а, 3D Зап-2 + 2аn-з 2an-1 + 2an-2 + 2an-3 + An-3
Fig.1
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Fig.4
Fig.5
v2
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Fig.6
Fig.7
Transcribed Image Text:Fig.1 Fig.2 Fig.3 Fig.4 Fig.5 v2 v7 Fig.6 Fig.7
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