
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 $S\_n=1+2+⋯+n (n∈ℕ^∗)$, $T\_n= \frac{S\_2}{S\_2-1}× \frac{S\_3}{S\_3-1}× \frac{S\_n}{S\_n-1} (n≥slant 2,n∈ℕ^∗)$, then the value of $T\_{2017}$ is _______ (express the answer in fractional form).

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