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Rabbits. Rabbits: Month 1 MonthBusy Pairs Young Pairs Total Pairs 1011.

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Presentation on theme: "Rabbits. Rabbits: Month 1 MonthBusy Pairs Young Pairs Total Pairs 1011."— Presentation transcript:

1 Rabbits

2 Rabbits: Month 1 MonthBusy Pairs Young Pairs Total Pairs 1011

3 Rabbits: Month 2 MonthBusy Pairs Young Pairs Total Pairs 1011 2011

4 Rabbits: Month 3 MonthBusy Pairs Young Pairs Total Pairs 1011 2011 3112 the first birth

5 Rabbits: Month 4 MonthBusy Pairs Young Pairs Total Pairs 1011 2011 3112 4123 the second birth

6 Rabbits: Month 5 MonthBusy Pairs Young Pairs Total Pairs 1011 2011 3112 4123 5235 Two births: The purple ones are now old enough

7 Rabbits: Month 6 MonthBusy Pairs Young Pairs Total Pairs 1011 2011 3112 4123 5235 6358

8 Rabbits: Month 7 MonthBusy Pairs Young Pairs Total Pairs 1011 2011 3112 4123 5235 6358 75813

9 The number of new pairs produced depends on how many pairs there were two months ago 3 births in month 6 3 pairs in month 4 MonthBusy Pairs Young Pairs Total Pairs 1011 2011 3112 4123 5235 6358

10 |Births| = |Pairs| two months ago Two months later: all grown up and ready to get busy MonthBusy Pairs Young Pairs Total Pairs 1011 2011 3112 4123 5235 6358 75813 5 births in month 7 5 pairs in month 5

11 Total rabbits = old rabbits + new births The Fibonacci numbers f n = f n-1 + f n-2 f 1 = f 2 = 1 MonthBusy Pairs Young Pairs Total Pairs 1011 2011 3112 4123 5235 6358

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