
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 infinite sequence \(T = \{t_1, t_2, t_3, \ldots\}\) is defined by \(t_1 = 3\) and \(t_n = 3^{t_{n-1}}\) for each integer \(n > 1\). What is the remainder when \(t_{100}\) is divided by 7?

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