2. (10 points) $2+2 \times 3+2 \times 3 \times 3+\cdots+2 \times 9$ the last three digits are $(\quad)$
A. 2
B. 8
C. 4
D. 6
【Analysis】Calculate the unit digit of these 10 numbers, see if there is a pattern, then add them up.
【Solution】According to the problem, we have:
$$
2 \times 3=6 \text {. }
$$
The unit digit of $2 \times 3 \times 3$ is 8.
The unit digit of $2 \times 3 \times 3 \times 3$ is 4.
The unit digit of $2 \times 3 \times 3 \times 3 \times 3$ is 2.
We find that the pattern of the unit digits is $2,6,8,4,2,6,8,4,2,6$. The unit digit of $2+6+8+4+2+6+8+4+2+6$ is $2+6=8$.

Therefore, the answer is: B.