
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
Let the sequence $\{a_n\}$ have a sum of the first $n$ terms denoted by $S_n$, and it satisfies $a_1=1$, $2S_n=(n+1)a_n$.  
(I) Find the general formula for $\{a_n\}$.  
(II) Let $T_n= \frac {1}{2a_1}+ \frac {1}{3a_2}+\ldots+ \frac {1}{(n+1)a_n}$, find $T_n$.

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