
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
Given a sequence of numbers with the first term being 6 and subsequent terms defined as follows: if a term, \( t \), is even, the next term is \( \frac{1}{2}t \); if a term, \( s \), is odd, the next term is \( 3s + 1 \), calculate the 100th term.

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