
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 the geometric sequence $\{2^{a_{n}}\}$ with a common ratio of 2, and $a_{4}+a_{3}^{2}=21$.
(1) Find the general term formula for $\{a_{n}\}$;
(2) If $a_{1}>0$, find the sum of the first $n$ terms, $S_{n}$, for the sequence $\{ \frac {1}{(2a_{n}-1)(2n-1)}\}$.

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