
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 the sequence $\{a_n\}$ be $S_n$, and $S_n=2- \frac {1}{2^{n-1}}$. Let $\{b_n\}$ be an arithmetic sequence, and $a_1=b_1$, $a_2(b_2-b_1)=a_1$.  
(I) Find the general formulas for the sequences $\{a_n\}$ and $\{b_n\}$.  
(II) Let $c_n= \frac {b_n}{a_n}$, find the sum of the first $n$ terms of the sequence $\{c_n\}$, denoted as $T_n$.

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