Posted by **Ilya** on Thursday, April 4, 2013 at 11:14pm.

"Start with a pair of rabbits, (one male and one female) born on January 1. Assume that all months are of equal length and that :

1. rabbits begin to produce young two months after their own birth;

2. after reaching the age of two months, each pair produces a mixed pair, (one male, one female), and then another mixed pair each month thereafter; and

3. no rabbit dies.

How many pairs of rabbits will there be after one year?"

Fibonacci's Solution: The Fibonacci Sequence!

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ...

So, at the end of the year, there will be 144 pairs of rabbits, all resulting from the one original pair born on January 1 of that year.

~~~~~~Question~~~~~~~~~

Keep the assumptions of rabbit reproduction the same as for the Fibonacci numbers, but with one change. Now assume that the time to fertility for a newborn is 2 months rather than 1. Starting with a newborn male and female, make a table which gives the number of pairs of rabbits after each month for 10 months. What is the mathematical relationship that gives the terms of this sequence of numbers?

- Colelge Math (Fibonacci) -
**Tracy**, Sunday, November 17, 2013 at 8:03pm
72

- Colelge Math (Fibonacci) -
**Tracy**, Sunday, November 17, 2013 at 9:27pm
2,048

## Answer This Question

## Related Questions

- Math - A pair of newborn male and female rabbits is placed in an enclosure to ...
- Math - A pair of newborn male and female rabbits is placed in an enclosure to ...
- Math - A pair of newborn male and female rabbits is placed in an enclosure to ...
- math- HELP! - The Fibonacci sequence was first discovered during a study of ...
- Maths-Numeracy - How many pairs of rabbits will there be after a year if it is ...
- Math Application - Raising rabbits. Before Roland sold two female rabbits, half ...
- math - Raising rabbits. Before Roland sold two female rabbits, half of his ...
- Math/Trig - If the population of rabbits in a certain area is modeled by the ...
- Algebra - Dorothy has decided to raise rabbits but has been warned that the ...
- Algebra - Danielle has decided to raise rabbits but has been warned that the ...

More Related Questions