
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 domain of the function f(x) is R, when x > 0, f(x) < 2, and for any x, y in R, f(x) + f(y) = f(x + y) + 2 holds. If the sequence {a$_{n}$} satisfies a$_{1}$ = f(0), and f(a$_{n+1}$) = f($\frac{a_{n}}{a_{n} + 3}$), n belongs to N*, find the value of a$_{2017}$.

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