
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 $T_n = 1 + 2 + 3 + \dots + n$ and 
\[P_n = \frac{T_2 + 1}{T_2 - 1} \cdot \frac{T_3 + 1}{T_3 - 1} \cdot \frac{T_4 + 1}{T_4 - 1} \cdot \dots \cdot \frac{T_n + 1}{T_n - 1}\]
for $n = 2, 3, 4, \dots,$ then determine $P_{15}$.
A) 186.0  
B) 187.5  
C) 189.0  
D) 190.0

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