
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 the sequence \(\{a_n\}\) where \(a_1 = \frac{1}{3}\) and \(a_{n+1} = \frac{a_n}{2 - (2n+1)(2n-5)a_n}\) for \(n = 1, 2, \ldots\), find \(\sum_{i=1}^{2023} a_i\).

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