E X T R A C R E D I T
FIBONACCI NUMBERS
This is worth 5 Participation Points.
The Problem: Suppose
a pair of rabbits are allowed to breed and every month they produce
a pair of babies. Babies bear young themselves, after 2 months. The
pattern continues with the original two rabbits and with the future generations
as well. Assume no rabbits die. How many pairs of rabbits will
there be, each month, and at the end of 15 months?
Print this page.
Complete the chart for the first 15 months.
The first three months have been completed for you.
(Please note: The numbers are for pairs
of rabbits, not for the numbers of individual rabbits.)
|
MONTH
|
NUMBER OF PAIRS OF BABIES
|
NUMBER OF PAIRS OF ADULTS
|
TOTAL NUMBER OF PAIRS(ADULTS& BABIES)
|
|
January 1
|
0
|
1
|
1
|
|
February 1
|
1
|
1
|
2
|
|
March 1
|
1
|
2
|
3
|
|
April 1
|
2
|
3
|
5
|
|
May 1
|
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June 1
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July 1
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August 1
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Sept. 1
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Oct. 1
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Nov. 1
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Dec. 1
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Jan. 1
|
|
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Feb. 1
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March 1
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April 1
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Look at the pattern of numbers in the last column.
How can each number be found from certain numbers before it?
How can this rule be used to find the next total number
of pairs in the pattern?
And what is that next number? ______
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