Cho \(A=1\times2+2\times3+...+149\times150\)
\(3A=1\times2\times3+2\times3\times\left(4-1\right)+...+149\times150\times\left(151-148\right)\)
\(3A=1\times2\times3+2\times3\times4-1\times2\times3+...+149\times150\times151-148\times149\times150\)
\(3A=149\times150\times151\)
\(A=\frac{149\times150\times151}{3}\)
\(A=1124950\)