HOW TO CALCULATE FIBONACCI ?

What is a fibonacci: The last number will be the summation of the immediate two first number.

Rule

F_n = F_n-2 + F_n-1

Now calculation of fibonacci number for n = 5

F₅ = F₃ + F₄

F₃ = F₁ + F₂

F₄ = F₂ + F₃

In fibonacci series 0 & 1 are the fibonacci for 1 & 2. For that reason

F₁ = 0

F₂ = 1

We know from the previous calculation

F₅ = F₃ + F₄

F₅ = F₁ + F₂ + F₄

F₅ = F₁ + F₂ + F₂ + F₃

F₅ = F₁ + F₂ + F₂ + F₁ + F₂

F₅ = 0 + 1 + 1 + 0 + 1

F₅ = 3

The 5_th number fibonacci is 3

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