Fibonacci Variation: A single pair of rabbits (male and
Chapter 5, Problem 23E(choose chapter or problem)
Problem 23E
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 first 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, and s5.
c. How many rabbits will there be at the end of the year?
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