
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 in the arithmetic sequence $\{a\_n\}$, $a\_2=4$, $a\_5+a\_6=15$.
(1) Find the general term formula of the sequence $\{a\_n\}$;
(2) Let $b\_n=2^{a\_n-2}+n$, find the value of $b\_1+b\_2+...+b\_10$.

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