
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
Find the smallest term in the following sequence:
\[ a_{1} = 1993^{1094^{1995}}, \]
\[ a_{n+1} = \begin{cases} 
\frac{1}{2} a_{n}, & \text{if } a_{n} \text{ is even}, \\
a_{n} + 7, & \text{if } a_{n} \text{ is odd}.
\end{cases} \]

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