I am really struggling with recursive methods and was wondering if anyone could offer some guidance on this practice problem. Any help would be greatly appreciated.
Write a recursive method that calculates the Nth number in the Fibonacci sequence. The first and second numbers in the sequence (the base cases) are both 1. After that, each subsequent number is the sum of the previous two. Stated a bit more formally:
For example, here is the first few numbers in the sequence:
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...
Your fib method should be part of a class named Fibonacci. In addition to the fib method, the Fibonacci class should have a main method that calls fib(9). If the result doesn't equal 34, you should print an error message. Otherwise, it should print out a message saying that it was successful.
After writing your Fibonacci class, answer the following question: How many times is the fibonacci method called when calculating the 5th number in the sequence?