Recursion: Fibonacci Series

Fibonacci Series generates subsequent number by adding two previous numbers. Fibonacci series starts from two numbers − F₀ & F₁. The initial values of F₀ & F₁ can be taken 0, 1 or 1, 1 respectively.

Fibonacci series satisfies the following conditions −

Fn = Fn-1 + Fn-2

So a Fibonacci series can look like this −

F₈ = 0 1 1 2 3 5 8 13

or, this −

F₈ = 1 1 2 3 5 8 13 21

For illustration purpose, fibonacci of F₈ is displayed below −