
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]


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In an arithmetic sequence $\{a_n\}$, it is given that $a_2 = 4$ and $a_4 + a_7 = 15$.  
(1) Find the general formula for the $n$-th term of the sequence $\{a_n\}$.  
(2) Let $b_n = 2a_n - 2 + n$. Calculate the sum of the first ten terms of the sequence $\{b_n\}$, i.e., find $b_1 + b_2 + b_3 + \ldots + b_{10}$.

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