Fibonnaci Sequence

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Fibonacci Sequence

In the 13th century A.D. Leonard Fibonacci introduced Liber abaci, which means “The Book of calculations.” Fibonacci was best known for a series of numbers which were introduced in Liber abaci, and later named the Fibonacci sequence in his honor.
The sequence begins with 0 and 1. After that, use the simple rule: Add the last two numbers together to get the next. 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377…
In Fibonacci's day, mathematical competitions and challenges were ordinary. In 1225 Fibonacci took part in a tournament at Pisa ordered by the emperor at the time, Frederick II. During this competition the following problem arose:

Beginning with a single pair of rabbits, if every month each productive pair bears a new pair, which becomes productive when they are 1 month old, how many rabbits will there be after n months?
This rabbit breeding problem that caused Fibonacci to write about the sequence in Liber abaci may be unrealistic but the Fibonacci sequence really does appear today. For example, some plants stem in such a way that they always have a Fibonacci number of growing points. Flowers often have a Fibonacci number of petals; daisies can have 34, 55 or even 89 petals.
Next time you look at a sunflower look at the arrangements of the seeds. They appear to spiral outward, both left and right. There is a Fibonacci sequence in the number of spirals. This arrangement keeps the seeds evenly packed regardless of how large the seed head. The Fibonacci sequence appears every day in a normal person’s life, they just never knew....