Prompt
Write a recursive algorithm to sum a list of numbers:
Answer
User Input Analysis
The user requests a recursive algorithm to sum a list of numbers.
Pseudo Code
1. Define a function called sum_list_recursive that takes a list of numbers and an index as input parameters.
2. Check if the index is equal to the length of the list.
3. If the index is equal to the length of the list, return 0 to stop the recursion.
4. Otherwise, recursively call the sum_list_recursive function with the list of numbers and the next index.
5. Inside the recursive call, add the current element at the index to the sum obtained from the recursive call.
6. Return the sum of the current element and the sum obtained from the recursive call.
7. Call the sum_list_recursive function with the list of numbers and the initial index (0) to start the recursion.
8. Output the final sum obtained.
Explanation
- The pseudocode defines a function
sum_list_recursive
that recursively calculates the sum of a list of numbers. - It checks if the index has reached the end of the list, and if so, returns 0 to stop the recursion.
- If the end of the list has not been reached, it continues recursively summing the current element with the sum of the remaining elements.
- The function is initially called with the list of numbers and starting index to initiate the recursive process.
- Finally, the output is the sum of all the numbers in the list.
This pseudocode provides a clear and concise algorithm for recursively summing a list of numbers.
Description
The pseudocode describes a recursive algorithm to calculate the sum of a list of numbers efficiently. It breaks down the process of summing elements with recursion.
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