Answer: Fibonacci Variation: A single pair of rabbits
Chapter 5, Problem 5.226(choose chapter or problem)
Fibonacci Variation: A single pair of rabbits (male and female) is born at the beginning of a year. Assume the following conditions: (1) Rabbit pairs are not fertile during their rst two months of life, but thereafter give birth to three new male/female pairs at the end of every month. (2) No rabbits die. a. Let sn =the number of pairs of rabbits alive at the end of month n, for each integer n 1, and let s0 =1. Find a recurrence relation for s0,s1,s2,.... b. Compute s0,s1,s2,s3,s4, ands5. c. How many rabbits will there be at the end of the year?
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