
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 $\{a_n\}$ is an arithmetic sequence, $a_{1010}=5$, and $a_{1}+a_{2}+a_{3}+\ldots+a_{2019}=5\times2019$. If $\{b_n\}$ is a geometric sequence, and $b_{1010}=5$, determine a similar conclusion for $\{b_n\}$.

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