Hey Fibonacho Muchachos!
I came across the
rabbit problem the other day and I think I’ve discovered the solution. The
problem, for those of you who don’t know, is about breeding rabbits in ideal
conditions. So how many pairs of rabbits
(male and female) would you have after one year? The solution must obey the
following rules:
1.
You start
with a pair of rabbits (one male and one female).
2.
Rabbits
are sexually mature after one month.
3.
Mating
occurs one month after they’re sexually mature.
4.
A pair of
rabbits can breed, one month after mating.
5.
A female
and a male will be bred every month.
6.
The
rabbits do not die.
I have concluded that
there will be 233 pairs of rabbits at the end of the year. How I reaching my
conclusion is with the sequence: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, and so on. Each
number represents the number of pairs one would have after each month. The
rabbits aren’t mature yet after the first month, so one would still have a pair
at the end of that month. The pair will then take one month to mate and after
the second month, one will still have one pair of rabbits. During the third
month, the pair will produce another pair of rabbits resulting in two pairs. At
the end of the fourth month, the original pair will reproduce yet again but the
newer pair will not because they’re not sexually mature leaving three pairs. If
the pattern continues, one would just have to add the previous two numbers to receive
the new one. I have inserted a diagram down below:
So that’s what I’ve
been up to.
See you all next time,
Fibonachos!
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