How Many Rabbit Pairs Will There Be After 52 Weeks of Rapid Reproduction?

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After 52 weeks of rapid reproduction, the number of rabbit pairs can be calculated using the Fibonacci sequence, where each pair produces a new pair weekly starting from week 4. The initial pair reproduces continuously, leading to exponential growth. By the end of the year, the total number of rabbit pairs reaches 233. This problem illustrates the principles of population growth and the Fibonacci sequence's application in real-world scenarios. Understanding this reproductive model provides insights into mathematical patterns in nature.
pixel01
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Dear all,

I have this interesting problem and have not settled it out.
There is a pair of rabbits which reproduce very fast. Every week the pair gives birth to a new rabbit pair. Baby rabbits will be able to reproduce whey they were 4 weeks old. So after 52 weeks, totally how many rabbit pairs are there if no rabbits die and the first pair of rabbits still reproduce.

(Hope this thread is suitable in this box)

Thanks
 
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