A newly born rabbit is
capable of reproducing at one month old (when it matures). Suppose the
rabbit never dies, and it continues reproducing one new rabbit every month.
So, when the rabbit is born, it has one member in its own family. After a
month, it matures, and by the second month it adds a new born member to its
family. In the third month, the rabbit produces another offspring; its
first child also matures and will be ready to have an offspring in the next
month. The sequence named by Fibonacci (1,1,2,3,5,8,13,21,...) can describe
the number of members in the rabbit's family at each month. Explain how
Determine how the
Fibonacci sequence gives the number number of rabbits each month.
Solve/Investigate the Problem
I plan to expand the chart..
of the Problem
I copied the diagram and
expanded it until the 7th month. For each month I noted the
number of mature rabbits and the new rabbits. I thought that you would
count the mature rabbits of the current month and the mature rabbits of the
previous month to get the next month’s total but it did not work.
Next, I tried to double the mature rabbits and subtract a number (month,
new rabbits). Someone suggested that we double the mature rabbits and add
the new rabbits and after checking this idea, I found it to be correct.
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