
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
Define the sequence of decimal integers \( a_n \) as follows: \( a_1 = 0 \); \( a_2 = 1 \); \( a_{n+2} \) is obtained by writing the digits of \( a_{n+1} \) immediately followed by those of \( a_n \). When is \( a_n \) a multiple of 11?

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