
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 $S_{n}$ be the sum of the first $n$ terms of the geometric sequence ${a_{n}}$, such that $S_{3}$, $S_{2}$, and $S_{4}$ form an arithmetic sequence. Given that $a_{1}+2a_{3}+a_{4}=4$.
(I) Find the general term formula of the sequence ${a_{n}}$;
(II) Let ${b_{n}}$ be a sequence such that $b_{n}= \frac {1}{\log _{2}|a_{n}|}$, $n∈N^{*}$, and let $T_{n}=b_{1}b_{2}+b_{2}b_{3}+b_{3}b_{4}+…+b_{n}b_{n+1}$, $n∈N^{*}$. If for any $n∈N^{*}$, $aT_{n} < n+4$ always holds true, find the range of values for the real number $a$.

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