
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 sum of the first n terms of the sequence {a_n} be S_n. When n∈ N*, a_n, n+1/2, a_{n+1} form an arithmetic sequence. If S_n=2020 and a_2 < 3, determine the maximum value of n.

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