
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
Solve the recurrence relation:
$$
\left\{\begin{array}{l}
a_{n}=8 a_{n-1}-22 a_{n-2}+24 a_{n-3}-9 a_{n-4} \quad(n \geqslant 4), \\
a_{0}=-1, a_{1}=-3, a_{2}=-5, a_{3}=5.
\end{array}\right.
$$

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