
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given the sequence $\{a_n\}$ satisfies $\log_2{a_{n+1}} = 1 + \log_2{a_n}$ ($n \in \mathbb{N}^*$), and $a_1 + a_2 + ... + a_{10} = 1$, find the value of $\log_2({a_{101} + a_{102} + ... + a_{110}})$.

Present the answer in LaTex format: \boxed{Your answer}
user