Find the remainder when $1 + 2 + 2^2 + 2^3 + \dots + 2^{100}$ is divided by 7.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find the remainder when $1 + 2 + 2^2 + 2^3 + \dots + 2^{100}$ is divided by 7.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
3
Find the remainder when $1 + 2 + 2^2 + 2^3 + \dots + 2^{100}$ is divided by 7.
train