
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 the sequence $\{a\_n\}$ is an arithmetic sequence, and the sequence $\{b\_n\}$ is a geometric sequence with all positive terms. Also, $a\_1 = b\_1 = 3$, $a\_2 + b\_2 = 14$, and $a\_3 + a\_4 + a\_5 = b\_3$.

(I) Find the general term formulas for the sequences $\{a\_n\}$ and $\{b\_n\}$;
(II) Let $c\_n = a\_n + b\_n$, $n∈\mathbb{N}^∗$, find the sum of the first $n$ terms of the sequence $\{c\_n\}$.

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