consider the program fragment below

1. Integer j, k

2. Sum 0

3. for k 1 to n do

4. j n

5. while j >= 2 do

6. Sum sum + j

7. end while

8. end-for

a) derive the formula for the number of repetitions of the while loop in lines 4-8

b) derive the formula for the value of the variable sum completed by the program

c) obtain the running time of the program