
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
Given a sequence \\( \{a_n\} \\) whose sum of the first \\( n \\) terms is \\( S_n \\), and it satisfies \\( S_n = 2a_n - 4 (n \in N^*) \\), then \\( a_n = \\) \_\_   \_\_\_\_．

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