
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 an arithmetic sequence $\\{a\_{n}\\}$ with the sum of its first $n$ terms denoted as $S\_{n}$, where $n∈N^{*}$, $a\_{2}=5$, and $S\_{8}=100$.

(1) Find the general term formula for the sequence $\\{a\_{n}\\}$.

(2) Let $b\_{n}=4^{a\_{n}}+2n$. Find the sum of the first $n$ terms, denoted as $T\_{n}$, for the sequence $\\{b\_{n}\\}$.

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