Ans: $83$
Note that the sequence is $3$, $5$, $7$, …, which is an arithmetic sequence. Note also that the common difference is $2$. Hence, we have
Note that the sequence is $3$, $5$, $7$, …, which is an arithmetic sequence. Note also that the common difference is $2$. Hence, we have
$\begin{array}{rcl}
\dfrac{m}{2} [ 2(3) + (m-1)\times 2] & > & 6\ 888 \\
m(2 + m ) & > & 6\ 888 \\
m^2 + 2m – 6\ 888 & > & 0 \\
(m-82)(m+84) & > & 0
\end{array}$
Therefore, $m<-84$ or $m>82$. Hence, the least value of $m$ is $83$.
