
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
Let $\{a_n\}$ be an arithmetic sequence, and $a_1 = \ln 2$, $a_2 + a_3 = 5\ln 2$.  
(I) Find the general formula for $\{a_n\}$.  
(II) Find $e^{a_1} + e^{a_2} + \ldots + e^{a_n}$.

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