Solved: Fibonacci Variation: A single pair of rabbits
Chapter 5, Problem 22E(choose chapter or problem)
Problem 22E
Fibonacci Variation: A single pair of rabbits (male and female) is born at the beginning of a year. Assume the following conditions (which are more realistic than Fibonacci’s):
(1) Rabbit pairs are not fertile during their first month of life but thereafter give birth to four new male/female pairs at the end of every month.
(2) No rabbits die.
a. Let rn = the number of pairs of rabbits alive at the end of month n, for each integer n > 1, and let r0 = 1. Find a recurrence relation for r0, r1, r2, ....
b. Compute r0, r1, r2, r3, r4, r5, and r6.
c. How many rabbits will there be at the end of the year?
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer