
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
In the sequence $\{a_n\}$, we have $a_1=2$ and $a_{17}=66$. The formula for the general term is a linear function of $n$.  
(1) Find the general term formula for the sequence $\{a_n\}$.  
(2) Calculate the value of $a_{20}$.  
(3) Discuss whether 398 is an element of the sequence. Provide a reason.

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