Final answer:
Due to a syntax error in the loop, the sum variable is incremented only once, yielding a final value of 1 (option C).
Step-by-step explanation:
The code provided in the question contains a syntax error due to the presence of a semicolon at the end of the for loop statement. This semicolon actually terminates the for loop, meaning that the loop does not execute any code block and therefore does not affect the sum variable. As a result, the line sum += 1; is executed only once outside of the loop, resulting in sum being incremented by 1 only a single time. Hence, after the execution of the code, the value of sum will be 1, which matches option C.