
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 that in an arithmetic sequence ${a_n}$, $$\frac {a_{11}+a_{12}+…+a_{20}}{10}= \frac {a_{1}+a_{2}+…a_{30}}{30}$$, what would be the similar conclusion in a geometric sequence ${b_n}$?

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