Recursive Solution

To solve the Fibonacci sequence using a recursive approach, we can define a function Fibonacci(n) that calculates the Fibonacci number at position n. The recursive solution follows the mathematical definition of the Fibonacci sequence.

Here's an example of how to implement the recursive solution in C#:

1public int Fibonacci(int n)
2{
3    if (n == 0) return 0;
4    if (n == 1) return 1;
5    return Fibonacci(n - 1) + Fibonacci(n - 2);
6}
7
8Console.WriteLine(Fibonacci(6));

In the above code snippet, we define the Fibonacci function that takes an integer n as input and returns the Fibonacci number at position n. The function uses recursion to calculate the Fibonacci number by calling itself with n - 1 and n - 2 as inputs.

By calling Fibonacci(6), we can calculate the Fibonacci number at position 6. The expected output is 8.

It's important to note that the recursive solution for the Fibonacci sequence is not efficient for larger values of n. The recursive approach has overlapping subproblems and performs redundant calculations, which can lead to exponential time complexity. However, the recursive solution is a good starting point to understand the problem and can be optimized using dynamic programming techniques that we'll cover in the upcoming sections.

xxxxxxxxxx

public int Fibonacci(int n)

{

    if (n == 0) return 0;

    if (n == 1) return 1;

    return Fibonacci(n - 1) + Fibonacci(n - 2);

}

​

Console.WriteLine(Fibonacci(6));