
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
The sequence \(\left\{a_{n}\right\}\) satisfies \(a_{n+1}=\frac{1}{2-a_{n}}\). If for any positive integer \(n\), \(a_{n+1} > a_{n}\) holds, then the range of values of \(a_{1}\) is \(\qquad\).

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