
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 that the first term of the sequence $\{a_n\}$ is 2, the sum of the first $n$ terms is $S_n$, and $$\frac {1}{a_{n}}- \frac {1}{a_{n+1}}= \frac {2}{4S_{n}-1}(n∈N^{*})$$ Find:
1. The value of $a_2$;
2. The general term formula of the sequence $\{b_n\}$, where $$b_{n}= \frac {a_{n}}{a_{n+1}-a_{n}}$$;
3. The general term formula of the sequence $\{a_n\}$.

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