Fibonacci sequence is a sequence of numbers, where each number is the sum of the 2 previous numbers, except the first two numbers that are 0 and 1.

- Fibonacci sequence formula
- Golden ratio convergence
- Fibonacci sequence table
- Fibonacci sequence calculator
- C++ code of Fibonacci function

## Fibonacci sequence formula

#### For example:

*F*_{0} = 0

*F*_{1} = 1

*F*_{2} = *F*_{1}+*F*_{0} =
1+0 = 1

*F*_{3} = *F*_{2}+*F*_{1} =
1+1 = 2

*F*_{4} = *F*_{3}+*F*_{2} =
2+1 = 3

*F*_{5} = *F*_{4}+*F*_{3} =
3+2 = 5

...

## Golden ratio convergence

The ratio of two sequential Fibonacci numbers, converges to the golden ratio:

φ is the golden ratio = (1+√5) / 2 ≈ 1.61803399

## Fibonacci sequence table

n |
F_{n} |
---|---|

0 | 0 |

1 | 1 |

2 | 1 |

3 | 2 |

4 | 3 |

5 | 5 |

6 | 8 |

7 | 13 |

8 | 21 |

9 | 34 |

10 | 55 |

11 | 89 |

12 | 144 |

13 | 233 |

14 | 377 |

15 | 610 |

16 | 987 |

17 | 1597 |

18 | 2584 |

19 | 4181 |

20 | 6765 |

## Fibonacci sequence calculator

TBD

## C code of Fibonacci function

double Fibonacci(unsigned int n)

{

double f_n =n;

double f_n1=0.0;

double f_n2=1.0;

if( n > 1 ) {

for(int k=2; k<=n; k++) {

f_n = f_n1 + f_n2;

f_n2 = f_n1;

f_n1 = f_n;

}

}

return f_n;

}

Currently, we have around 935 calculators, conversion tables and usefull online tools and features to make your life easier or simply help you to do your work or duties faster and in more effective way. These below are the most commonly used by many users at all

- Free online calculators and tools
- Free online units conversion tools
- Free online web design tools
- Free online electricity & electronics tools
- Mathematics
- Online Tools
- Text Tools
- PDF Tools
- Code
- Ecology
- Numbers
- Algebra
- Trigonometry
- Probability & Statistics
- Calculus & analysis
- Mathematical symbols
- Addition table
- e constant
- Exponent rules
- Adding exponents
- Dividing exponents
- Fractional exponents
- Multiplying exponents
- Negative exponents
- Simplifying exponents
- Zero exponents
- Fibonacci numbers & sequence
- How e = 2.71828183 ?
- Multiplication table
- Printable multiplication table of 12x12
- Blank printable multiplication table of 12x12
- Printable multiplication table of 10x10
- Blank printable multiplication table of 10x10
- Multiplication table of 12x12
- Multiplication table of 10x10
- Numeral systems
- Parts-per million (ppm)
- Per-mille (‰)
- Percentage (%)
- Prime numbers
- Zero number (0)

And we are still developing more. Our goal is to become the one-stop, go-to site for people who need to make quick calculations or who need to find quick answer for basic conversions.

Additionally, we believe the internet should be a source of free information. Therefore, all of our tools and services are completely free, with no registration required. We coded and developed each calculator individually and put each one through strict, comprehensive testing. However, please inform us if you notice even the slightest error – your input is extremely valuable to us. While most calculators on Justfreetools.com are designed to be universally applicable for worldwide usage, some are for specific countries only.