Question 20
If $(1-\frac{1}{2^2})(1-\frac{1}{3^2})(1-\frac{1}{4^2})(1-\frac{1}{5^{20}})\cdots(1-\frac{1}{2024^2})(1-\frac{1}{2025^2})=\frac{A}{B}$, $\gcd(A,B)=1)$ Find $A+B$.
Original choices: A. 2026; B. 3038; C. 3039; D. 4051.
Editorial note: The printed conditions need clarification. Discuss the issue and justify any conditional interpretation; no automatic answer is assigned.
Original choices: A. 2026; B. 3038; C. 3039; D. 4051.
Editorial note: The printed conditions need clarification. Discuss the issue and justify any conditional interpretation; no automatic answer is assigned.