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Consider a Python function that computes the sum of all numbers from 1 to n by repeatedly calling itself with n-1 until it reaches 1. What type of function is this?

Question

Consider a Python function that computes the sum of all numbers from 1 to n by repeatedly calling itself with n-1 until it reaches 1. What type of function is this?

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Solution

This type of function is known as a recursive function. In Python, a recursive function is a function that calls itself during its execution. This means that the function will continue to call itself and repeat its behavior until some condition is met to return a result.

Here is a simple example of a recursive function that sums all numbers from 1 to n:

def sum_numbers(n):
    if n == 1:
        return 1
    else:
        return n + sum_numbers(n-1)

In this function, the base case is when n equals 1. In this case, the function returns 1. If n is not equal to 1, the function calls itself with the argument n-1 and adds n to the result. This process continues until n equals 1.

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