1. **Problem Statement:** You have a current CGPA of 4.0 and you scored a GPA of 4.5 in the next semester. We want to find your new CGPA. 2. **Formula Used:** The CGPA is the cumulative average of all semester GPAs. If you have completed $n$ semesters with a CGPA of $C_n$, and your next semester GPA is $G_{n+1}$, then the new CGPA $C_{n+1}$ is given by: $$ C_{n+1} = \frac{n \times C_n + G_{n+1}}{n + 1} $$ 3. **Assumptions:** Since the number of semesters completed before the new GPA is not given, we will assume you have completed 1 semester so far (i.e., $n=1$). This means your CGPA of 4.0 is from 1 semester. 4. **Calculation:** $$ C_2 = \frac{1 \times 4.0 + 4.5}{1 + 1} = \frac{4.0 + 4.5}{2} = \frac{8.5}{2} = 4.25 $$ 5. **Explanation:** We multiply the current CGPA by the number of semesters to get the total grade points so far, add the new semester GPA, then divide by the new total number of semesters to get the updated CGPA. **Final Answer:** Your new CGPA after the next semester is **4.25**.