
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 $T=\{t_1, t_2, t_3,\ldots\}$ where $t_1=5$ and $t_n=3^{t_{n-1}}$ for each integer $n>1$. What is the remainder when $t_{50}$ is divided by $7$?

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