1. Assuming the precondition that the value associated with N is a positive integer, establish a loop invariant that leads to the conclusion that if the following routine terminates, then Sum is...

1.
Assuming the precondition that the value associated with N is a positive integer, establish a loop invariant that leads to the conclusion that if the following routine terminates, then Sum is assigned the value 0 + 1 + c + N.

Sum = 0

K = 0

while (K :

K = K + 1

Sum = Sum + K

Provide an argument to the effect that the routine does in fact terminate.