
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 2a_n = a_n+1 + a_n-1 (n≥2 and n∈ N*), S_n is the sum of the first n terms, and S3 = 6, a3 = 3. Then calculate the value of S2023/2023.

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