Web Reference: Sep 27, 2025 · We can recursively calculate these smaller numbers as a subproblems and combine their results, continuing this process until we reach the base cases (0 or 1). Once the base cases are reached, the results are successively added back together to give the final Fibonacci number. The developer should be very careful with recursion as it can be quite easy to slip into writing a function which never terminates, or one that uses excess amounts of memory or processor power. In this step-by-step tutorial, you'll explore the Fibonacci sequence in Python, which serves as an invaluable springboard into the world of recursion, and learn how to optimize recursive algorithms in the process.
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