Final answer:
True, a for loop built using the range() function does not require the manual incrementation of a counter variable, as it is automatically managed by the loop control structure.
Step-by-step explanation:
The statement is True. When using a for loop constructed with the range() built-in function (BIF) in many programming languages such as Python, it automatically handles the iteration over a sequence of numbers. Therefore, there is no need to manually increment a counter variable i inside the loop; the loop control variable is automatically updated by the range() function at the end of each iteration.
A common example of a for loop in Python using range would be:
for i in range(0, 10):
print(i)
This loop will print numbers from 0 to 9, incrementing i with each iteration without any additional code for incrementing it.