
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 a sequence $\{a\_n\}$ where all terms are positive numbers, the sum of the first $n$ terms is $S\_n$, and $S\_n= \frac {a\_n(a\_n+1)}{2} (n \in \mathbb{N}^*)$.

(I) Find the general formula for the $n^{th}$ term of the sequence.

(II) Let $b\_n= \frac {1}{2S\_n}, T\_n=b\_1+b\_2+…+b\_n$, find $T\_n$.

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