Ans: A
Note that the sequence is an arithmetic sequence, and the first term $=2(1)+3=5$. Hence, we have
Note that the sequence is an arithmetic sequence, and the first term $=2(1)+3=5$. Hence, we have
$\begin{array}{rcl}
\dfrac{m}{2}[5+(2m+3)] & < & 3000 \\
m^2 + 4m - 3000 & < & 0 \\
\end{array}$
$\therefore -56.808~758~42 < m < 52.808~758~42$
Therefore, the greatest value of $m$ is $52$.
