
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 that {a<sub>n</sub>} is an arithmetic sequence, S<sub>n</sub> represents the sum of the first n terms of the sequence {a<sub>n</sub>}, and T<sub>n</sub> represents the sum of the first n terms of the sequence {$$\{ \frac {S_{n}}{n}\}$$}. If S<sub>5</sub>\=-15 and S<sub>13</sub>\=65, find the minimum value of T<sub>n</sub>.

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