
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
In the arithmetic sequence $\\{a\_n\\}$, it is given that $a\_2=4, a\_4+a\_7=15$.

(1) Find the general term formula of the sequence $\\{a\_n\\}$.

(2) Let $\\{b\_n=2^{a\_n-2}+n,\\}$, find the sum of the first 10 terms of the sequence $\\{b\_n\\}$.

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