In Fibonacci's model, rabbits live forever. The following modification of Definition 3.1 accounts fo if n ≤ 0 if n = 1 or n = 2 G(n) = G(n-1) + G(n-2) (a) Compute G(n) for n = 1, 2, ..., 12. G(1) G(2) G(3) G(4) G(5) G(6) G(7) G(8) G(9) G(10) G(11) G(12) = = = = = G(n-8) if n > 2. (b) In this modified model, how long do rabbits live? months

C++ Programming: From Problem Analysis to Program Design
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ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter5: Control Structures Ii (repetition)
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In Fibonacci's model, rabbits live forever. The following modification of Definition 3.1 accounts for
if n ≤ 0
if n = 1 or n = 2
G(n) = 1
(a) Compute G(n) for n = 1, 2, ..., 12.
G(1)
G(2)
G(3)
G(4)
G(5)
G(6)
G(7)
G(8)
G(9)
G(10)
G(11)
G(12)
=
=
=
=
=
=
=
=
G(n-1) + G(n − 2) - G(n - 8) if n > 2.
-
=
(b) In this modified model, how long do rabbits live?
months
Transcribed Image Text:In Fibonacci's model, rabbits live forever. The following modification of Definition 3.1 accounts for if n ≤ 0 if n = 1 or n = 2 G(n) = 1 (a) Compute G(n) for n = 1, 2, ..., 12. G(1) G(2) G(3) G(4) G(5) G(6) G(7) G(8) G(9) G(10) G(11) G(12) = = = = = = = = G(n-1) + G(n − 2) - G(n - 8) if n > 2. - = (b) In this modified model, how long do rabbits live? months
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