Step 1: Analyze the for loop.
- The loop starts with \( n = 1 \). In each iteration of the loop:
- \( n++ \) increments \( n \) to 2 before the function calls.
- Then, \( f(n) \) is called with \( n = 2 \).
Step 2: Function call analysis.
1. For \( n = 1 \), after the increment, \( n = 2 \):
\[
f(2) = g(4) = 10 + 4 = 14
\]
So, \( sum = 14 \).
2. For \( n = 2 \), after the increment, \( n = 3 \):
\[
f(3) = g(6) = 10 + 6 = 16
\]
So, \( sum = 14 + 16 = 30 \).
After the loop ends, \( sum = 46 \).
Thus, the correct answer is \( 46 \).