To understand how recursion works for the Fibonacci sequence in Java, let’s break it down step by step:
1. Fibonacci Sequence: The Fibonacci sequence starts with 0 and 1. Each subsequent number is the sum of the two preceding ones. For example: 0, 1, 1, 2, 3, 5, 8, etc.
2. Recursive Function: In a recursive function, the function calls itself to break the problem into smaller parts. In this case, we need to find the Fibonacci of n, which is the sum of Fibonacci of n-1 and n-2.
3. Base Case: The function needs to know when to stop. In the Fibonacci sequence, if n is 0 or 1, it returns n, since the first two numbers of the sequence are predefined.
4. Recursive Case: For values of n greater than 1, the function calls itself with n-1 and n-2, adds the results together, and returns the sum. This continues until the base case is reached. I