
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
If the first term of an arithmetic sequence $\{a_n\}$ is $a_1 = C_{5m}^{11-2m} - A_{11-3m}^{2m-2}$ where $m \in N^*$, and the common difference is the constant term in the expansion of $\left( \frac{5}{2x} - \frac{2}{5} \sqrt[3]{x^2} \right)^n$, where $n$ is the remainder of $77^{77} - 15$ when divided by $19$, find the general term formula of the arithmetic sequence $\{a_n\}$.

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