 # Fibonacci Sequence Generator

##### Fibonacci Number Generator that calculates the nth Fibonacci number for a given integer n
###### Enter a number greater than 1 and less than 1476 to generate the sequence:
Quantity to Generate:
nn2
11
22
33
45
58
613
721
834
955
1089
11144
12233
13377
14610
15987
161,597
172,584
184,181
196,765
2010,946
2117,711
2228,657
2346,368
2475,025
25121,393
26196,418
27317,811
28514,229
29832,040
301,346,269
312,178,309
323,524,578
335,702,887
349,227,465
3514,930,352
3624,157,817
3739,088,169
3863,245,986
39102,334,155
40165,580,141
41267,914,296
42433,494,437
43701,408,733
441,134,903,170
451,836,311,903
462,971,215,073
474,807,526,976
487,778,742,049
4912,586,269,025
5020,365,011,074

What is the Fibonacci Sequence?

The Fibonacci sequence is an infinite sequence of numbers in which each term is the sum of the two preceding ones. The sequence usually starts with 0 and 1, and from there, the next number is obtained by adding the two previous numbers. Therefore, the first terms of the sequence are: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, and so on.

The Fibonacci sequence was discovered by the Italian mathematician Leonardo of Pisa, also known as Fibonacci, in the 13th century. The sequence initially arose in the context of a problem about rabbit population growth, but it was later found to have many interesting mathematical properties and applications.

The Fibonacci sequence has numerous properties and can be found in many areas of mathematics and other disciplines. For example, it can be found in nature in the arrangement of leaves on some plants, in the formation of seashells, in the growth of flower petals, among other examples. It also has applications in areas such as number theory, geometry, computer science, and economics, to name a few.

The relationship between consecutive terms of the Fibonacci sequence approximates to an irrational number called "phi" (φ), known as the golden ratio or divine proportion. This number has an approximate value of 1.6180339887... and is an important concept in art, architecture, and design.

In summary, the Fibonacci sequence is a mathematical sequence in which each term is the sum of the two preceding ones, and it has interesting properties and applications in different areas of knowledge.

After Quantity 1476, the result is displayed as INFINITE...