Final answer:
A recursive Python function named triples is defined to accept a list and return a new list with each element tripled. It uses a base case for an empty list and recursion to process the remaining elements.
Step-by-step explanation:
To define a recursive function in Python named triples that accepts a list l as an argument and returns a list with each element tripled, you can use the following code:
def triples(l):
if not l: # Base case: if the list is empty
return []
else:
return [l[0] * 3] + triples(l[1:]) # Recursively call triples with the rest of the list
This function checks if the list is empty; if so, it returns an empty list. If not, it creates a new list with the first element of l tripled, and then concatenates it with the result of recursively calling itself with the remainder of the list. This process repeats until the base case is reached, resulting in a new list with all the original elements tripled.