
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 function $f(x)= \frac {x}{x+2} (x > 0)$. Observe: $f_{1}(x)=f(x)= \frac {x}{x+2}$, $f_{2}(x)=f(f_{1}(x))= \frac {x}{3x+4}$, $f_{3}(x)=f(f_{2}(x))= \frac {x}{7x+8}$, $f_{4}(x)=f(f_{3}(x))= \frac {x}{15x+16}$, ..., based on the above facts, when $n\in N^{*}$, by inductive reasoning, we can get: $f_{n}(1)=$ ______.

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