Question 121
The inequality
$$
\frac{1}{n+1} + \frac{1}{n+2} + \dots + \frac{1}{2n+1} \lt a - 2007 \frac{1}{3}
$$
holds for every positive integer $n$. Then the least positive integer of $a$ is $\underline{\hspace{2cm}}$.
$$
\frac{1}{n+1} + \frac{1}{n+2} + \dots + \frac{1}{2n+1} \lt a - 2007 \frac{1}{3}
$$
holds for every positive integer $n$. Then the least positive integer of $a$ is $\underline{\hspace{2cm}}$.