
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 a sequence $\{x_{n}\}$ that satisfies $\lg x_{n+1}=1+\lg x_{n} (n\in\mathbb{N}^{*})$, and $x_{1}+x_{2}…+x_{10}=100$, find the value of $\lg (x_{11}+x_{12}…+x_{20})$.

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