Code:
def fibonacci(n):
if n <= 1:
return n
else:
return fibonacci(n-1) + fibonacci(n-2)
print(fibonacci(6))
Solution and Explanation:
The provided code defines a Python function fibonacci(n) that computes the nth Fibonacci number recursively, and then prints the 6th Fibonacci number.
Here's how it works:
The fibonacci function takes an integer n as input.
It starts with a base case: if n is 0 or 1, it returns n itself. This is because the Fibonacci sequence starts with 0 and 1, and from there each subsequent number is the sum of the two preceding ones.
If n is greater than 1, it recursively calls the fibonacci function for n-1 and n-2, and returns the sum of these two calls.
The function keeps recursively calling itself until it reaches one of the base cases, where it directly returns a value.
Finally, it prints the 6th Fibonacci number by calling fibonacci(6) and prints the result.
Let's walk through fibonacci(6):
fibonacci(6) calls fibonacci(5) and fibonacci(4).
fibonacci(5) further calls fibonacci(4) and fibonacci(3).
fibonacci(4) calls fibonacci(3) and fibonacci(2).
This process continues until it reaches the base cases (n <= 1).
Eventually, it computes the Fibonacci numbers for n=2, n=3, n=4, n=5, and n=6 and sums them up to get the 6th Fibonacci number.
So, when you run print(fibonacci(6)), it will output the 6th Fibonacci number, which is 8.
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