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Mathematics, 20.02.2022 05:20 Randomkid0973

Fibonacci Variation: A single pair of rabbits (male and female) is born at the beginning of a year. Asume 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 the recurrence relation for r0,r1,
b) how many rabbits will there be at the end of the year.

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