
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 parabola $y=ax^{2}-2ax+b\left(a \gt 0\right)$ passes through points $A(2n+3$,$y_{1})$ and $B(n-1$,$y_{2})$, where $A$ and $B$ are on opposite sides of the parabola's axis of symmetry, and $y_{1} \lt y_{2}$, then the range of values for $n$ is ______.

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