n | n2 |
---|---|

1 | 1 |

2 | 2 |

3 | 3 |

4 | 5 |

5 | 8 |

6 | 13 |

7 | 21 |

8 | 34 |

9 | 55 |

10 | 89 |

11 | 144 |

12 | 233 |

13 | 377 |

14 | 610 |

15 | 987 |

16 | 1,597 |

17 | 2,584 |

18 | 4,181 |

19 | 6,765 |

20 | 10,946 |

21 | 17,711 |

22 | 28,657 |

23 | 46,368 |

24 | 75,025 |

25 | 121,393 |

26 | 196,418 |

27 | 317,811 |

28 | 514,229 |

29 | 832,040 |

30 | 1,346,269 |

31 | 2,178,309 |

32 | 3,524,578 |

33 | 5,702,887 |

34 | 9,227,465 |

35 | 14,930,352 |

36 | 24,157,817 |

37 | 39,088,169 |

38 | 63,245,986 |

39 | 102,334,155 |

40 | 165,580,141 |

41 | 267,914,296 |

42 | 433,494,437 |

43 | 701,408,733 |

44 | 1,134,903,170 |

45 | 1,836,311,903 |

46 | 2,971,215,073 |

47 | 4,807,526,976 |

48 | 7,778,742,049 |

49 | 12,586,269,025 |

50 | 20,365,011,074 |

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...