
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 a sequence $\{a_n\}$ whose sum of the first $n$ terms is $S_n$, and the point $(n,S_n)$ lies on the parabola $y= \dfrac {3}{2}x^{2}+ \dfrac {1}{2}x$, and a geometric sequence $\{b_n\}$ with all positive terms satisfies $b_{2}= \dfrac {1}{4}$, $b_{4}= \dfrac {1}{16}$.  
(I) Find the general formula for the sequences $\{a_n\}$ and $\{b_n\}$.  
(II) Let $C_n=a_{a_n}+b_{a_n}$, 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}
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