
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 $A$ and $B$ are any two points on the graph of the function $f(x)= \frac {1}{2}+ \log _{2} \frac {x}{1-x}$, and $\overrightarrow{OM}= \frac {1}{2}( \overrightarrow{OA}+ \overrightarrow{OB})$, where point $M( \frac {1}{2},m)$.

(I) Find the value of $m$;

(II) If $S_{n}=f( \frac {1}{n})+f( \frac {2}{n})+…+f( \frac {n-1}{n})$, $n∈N^{*}$, and $n≥slant 2$, find $S_{n}$;

(III) Given that $a_{n}= \begin{cases} \frac {1}{2},n=1 \
S_{n},n≥slant 2\end{cases}$, where $n∈N^{*}.T_{n}$ is the sum of the first $n$ terms of the sequence ${a_{n}}$, and if $T_{n} > λ(S_{n+1}+1)$ holds for all $n∈N^{*}$, find the range of values for $λ$.

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