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23. Fibonacci Variation: A single pair of rabbits (male and female) is born at the beginning of a year. Assume the fol- lowing 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 s, = the number of pairs of rabbits alive at the end of month n, for each integer n > 1, and let so = 1. Find a recurrence relation for so, s1, $2, . . .. b. Compute so, $1, $2, S3, S4, and s5. c. How many rabbits will there be at the end of the year?

23. Fibonacci Variation: A single pair of rabbits (male and female) is born at the beginning of a year. Assume the fol- lowing 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 s, = the number of pairs of rabbits alive at the end of month n, for each integer n > 1, and let so = 1. Find a recurrence relation for so, s1, $2, . . .. b. Compute so, $1, $2, S3, S4, and s5. c. How many rabbits will there be at the end of the year?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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23. Fibonacci Variation: A single pair of rabbits (male and female) is born at the beginning of a year. Assume the fol- lowing 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 s, = the number of pairs of rabbits alive at the end of month n, for each integer n > 1, and let so = 1. Find a recurrence relation for so, s1, $2, . . .. b. Compute so, $1, $2, S3, S4, and s5. c. How many rabbits will there be at the end of the year?
Transcribed Image Text:23. Fibonacci Variation: A single pair of rabbits (male and female) is born at the beginning of a year. Assume the fol- lowing 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 s, = the number of pairs of rabbits alive at the end of month n, for each integer n > 1, and let so = 1. Find a recurrence relation for so, s1, $2, . . .. b. Compute so, $1, $2, S3, S4, and s5. c. How many rabbits will there be at the end of the year?
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