
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 $S$ (_$_{n}$_) is the sum of the first $n$ terms of an arithmetic sequence {$_a_{n}$}, and $S_{5}=30$, $a$_{1}+$a$_{6}=14$.

(I) Find the general term formula of the sequence {$_a_{n}$};

(II) Find the sum formula of the sequence {$2^{a_{n}}$}.

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