<image>As shown in the figure, Figure (1) is a sector AOB, which is divided as follows:

First Division: As shown in Figure (2), the total number of sectors obtained is 6, namely: sector AOB, sector AOC, sector COB, sector \( A_{1}OB_{1} \), sector \( A_{1}OC_{1} \), and sector \( C_{1}OB \).

Second Division: As shown in Figure (3), sector \( C_{1}OB_{1} \) is divided in the same way as above, resulting in a total number of 11 sectors.

Third Division: As shown in Figure (4), and so on.



(1) According to the description, complete the table.

(2) Determine whether, by continuing to divide in the aforementioned manner, the total number of sectors can reach 2000. Explain why or why not.