\(A=2.3+3.4+...+47.48+48.49\)
\(3A=2.3.3+3.3.4+...+3.47.48+3.48.49\)
\(3A=2.3\left(4-1\right)+3.4\left(5-2\right)+...+47.48\left(49-46\right)+48.49\left(50-47\right)\)
\(3A=2.34-1.2.3+3.45-2.3.4+...+47.48.49-46.47.47+48.49.50-47.48.49\)
\(3A=-1.2.3+48.49.50\)
\(A=\dfrac{48.49.50-6}{3}=39198\)