
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
Let the sequence $\{a_n\}$ satisfy $a_1= \frac{3}{8}$, and for any $n\in\mathbb{N}^*$, it satisfies $a_{n+2}-a_{n}\leqslant 3^{n}$, $a_{n+4}-a_{n}\geqslant 10\times3^{n}$. Then, $a_{2017}=$ ______.

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