Final answer:
A while loop can be used with a flag variable named 'keep_running' to accumulate the sum of a sequence of integers inputted by the user, stopping when the sentinel value -1 is entered.
Step-by-step explanation:
To rewrite the given statements into a while loop that uses a flag variable to allow the user to input a sequence of integers and accumulate the total of the inputted values, excluding the sentinel value of -1, you can use the following Python code:
keep_running = True
keep_running = False
In this example, keep_running is used as the flag variable. The loop continues to execute as long as keep_running remains True. Once the user enters the sentinel value of -1, keep_running is set to False, and the loop terminates. The sum_of_integers variable accumulates the total of all entered integers, excluding the sentinel value.