
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
Each number in the sequence starting \(2, 3, 6, 8, 8, 4, \ldots\) is obtained in the following way: The first two numbers are 2 and 3, and afterwards each number is the last digit of the product of the two preceding numbers in the sequence. What is the 2017th number in the sequence?

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