
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 $f(x) = \frac{4^{x+1}}{4^{x}+2}$ be a function defined on $\mathbb{R}$, and let $S_{n}=f( \frac{1}{n})+f( \frac{2}{n})+…+f( \frac{n-1}{n})$ for $n=2$, $3$, $...$. Find $S_{n}=$ __.

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