Solution Review : Compute nth Fibonacci Number

This lesson will explain how to compute the nth Fibonacci number using recursion.

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Solution: Use Recursion

The Fibonacci sequence is obtained by adding the previous two consecutive terms; they are defined by the sequence,

fibonacci(0) = 0 # base case 
fibonacci(1) = 1 

fibonacci(n) = fibonacci(n – 1) + fibonacci(n – 2) for n >= 2 # recursive case

For example ,

0,1,1,2,3,5,8,......

if n=2, f(n)=3

The following illustration explains the concept by calculating the fourth Fibonacci number.

The following python code demonstrates how to find the nth fibonacci number:

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def fibonacci(n):
  if n <= 1:
       return n
  else:
       return(fibonacci(n-1) + fibonacci(n-2))
print(fibonacci(4))

Let’s move on to the next problem.