Ta có :
\(A=5+5^2+..........+5^{75}\)
\(\Leftrightarrow5A=5^2+5^3+.........+5^{75}+5^{76}\)
\(\Leftrightarrow5A-A=\left(5^2+5^3+.........+5^{76}\right)-\left(5+5^2+..........+5^{75}\right)\)
\(\Leftrightarrow4A=5^{76}-5\)
\(\Leftrightarrow4A+5=5^{76}\)
Mà \(4A+5=5^n+3\)
\(\Leftrightarrow5^{76}=5^n+3\)
hình như sai đề, hoặc là \(n\in\varnothing\)