
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
The sequence \( u_n \) is defined by \( u_1 = 1 \), \( u_2 = 3 \), and \( u_n = (n+1) u_{n-1} - n u_{n-2} \). Which members of the sequence are divisible by 11?

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