Feb 24, 2017
6:53 AM


[Math]: What mathematical sequence is obtained by setting each value to the sum of the two preceding numbers in the sequence?

The Fibonacci Sequence was discovered by Leonardo Pisano, of Pisa, Italy. He was exploring the problem in the Liber Abaci, in the 1220's.

Here is a description of the problem:
A certain man put a pair of rabbits in a place surrounded on all sides by a wall. How many pairs of rabbits can be produced from that pair in a year if it is supposed that every month each pair begets a new pair which from the second month on becomes productive? The solution is the Fibonacci Sequence, which is a sequence of numbers where each number is equal to the sum of the previous two predecessors. Here is an example: 1,1,2,3,5,8,13,21,34,55 ...

As it turns out, scientists have discovered these numbers in nature, such as in the spirals of sunflower heads, in pine cones, in the geneology of the male bee, in the related logarithmic spiral in snail shells, in the arrangement of leaf buds on a stem, and in animal horns. There is even a Fibonacci association in California.

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