What are the numbers belonging to the Fibonnacci’s sequence?

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The Fibonnaci’s sequence consists on a series of numbers which are found from the sum of the two previous numbers of the sequence beginning the series by 0 and 1, the sequence keeps on adding these two numbers in order to find the following one and thus we obtain number 1 again. From here on it is not difficult to get the amount of numbers we wish to since this sequence is infinite: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34 and so on.

How did this series of numbers appeared?

This series appeared in 1202 by Fibonnaci, who is also known as Leonardo Pisano. The book was Liber Abaci and it helped to spread the decimal number in Europe. The first time he noticed the sequence was when he was trying to solve a problem about rabbit’ s reproduction. Beginning with a male and a female, and having in mind some initial assumptions, how many rabbits will there be at the end of the year?

Why is this sequence so famous?

Although the rabbit’s problem was based on completely unrealistic assumptions, it was found later that the numbers of the Fibonnaci’s sequence were part of many components belonging to nature. For instance, in many plants the number of petals is part of this sequence. Let’s have a look at some more examples: sunflower seeds, lettuce leaves, cauliflower, onion skin layers, pineapple and pinecones protuberances, tree ramifications, etc.

Seeds of a fibonacci sunflower

Does the sequence have any practical application?

One of the most interesting uses of Fibonnaci’s sequence consists in the conversion of miles into kilometres. For instance, if you want to converse 5 miles into kilometres you can use Fibonnaci’s number which corresponds to the number of miles (5) and you look for the next number (8). Thus, 5 miles are approximately 8 kilometres. We have to pay attention to the fact that this method only allows to get rough conversions. In order to get an accurately conversion you will have to use the following formula: `K = 1.609344M`.



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