
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 of the sequence  $a_1, a_2, a_3, \ldots$  defined by  $a_1=2014^{2015^{2016}}$  and  $$ a_{n+1}= 
\begin{cases}
\frac{a_n}{2} & \text{ if } a_n \text{ is even} 
a_n + 7 & \text{ if } a_n \text{ is odd} 
\end{cases} $$  

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