
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 ${a_n}$ is an arithmetic sequence with $a_5 = 15$ and $a_{10} = -10$. Let $T_n$ be the sum of the terms from the $n^{th}$ to the $(n+5)^{th}$ term in the sequence ${a_n}$. Find the value of $n$ when the absolute value of $T_n$, $|T_n|$, is minimized.

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