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In Fibonacci's model, rabbits live forever. The following modification accounts for dying rabbits: G(n) = {0 if n ≤ 0 G(n) = {1 if n = 1 or n = 2 G(n) = {G(n − 1) + G(n − 2) − G(n − 8) if n > 2. (a) Compute G(n) for n = 1, 2, ... , 12. (b) In this modified model, how long do rabbits live?
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