
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 $S_n$ where $S_1 = 1$, $S_2 = 2$, and each subsequent term is the sum of the two preceding terms. Find the last digit of the 9th term in this sequence modulo 9.

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