
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 sum of the first $n$ terms of a geometric sequence $\{a_n\}$ be $S_n$. It is known that $a_{3}= \frac {1}{8}$, and $S_{2}+ \frac {1}{16}$, $S_{3}$, $S_{4}$ form an arithmetic sequence.  
(Ⅰ) Find the general formula for the sequence $\{a_n\}$.  
(Ⅱ) Let $b_{n}=a_{n}\log_{ \frac {1}{2}}a_{n}$, find the sum of the first $n$ terms of the sequence $\{b_n\}$, denoted as $T_n$.

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