
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
Suppose the sequence of positive terms $\{a_n\}$ satisfies $\lg a_{n+1} = 1 + \lg a_n$, and $a_{2001} + a_{2002} + a_{2003} + \dots + a_{2010} = 2013$. Find the value of $a_{2011} + a_{2012} + a_{2013} + \dots + a_{2020}$.

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