
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\}\\) that satisfies \\(a_n - 2a_{n+1} + a_{n+2} = 0 (n \in \mathbb{N}^*)\\), and \\(a_1 = 2\\), \\(a_2 = 4\\), then the general formula for the sequence \\(\{a_n\}\\) is \\(a_n =\\) ______.

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