
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
If an arithmetic sequence has a total of $3n$ terms, the sum of the first $n$ terms is $s_{1}$, the sum of the middle $n$ terms is $s_{2}$, and the sum of the last $n$ terms is $s_{3}$, with $t_{1}=s_{2}^{2}-s_{1}s_{3}$ and $t_{2}=\left( \frac{s_{1}-s_{3}}{2} \right)^{2}$, then the relationship between $t_{1}$ and $t_{2}$ is ______.

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