
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 a function $f(x)$ that satisfies: $f(p+q) = f(p)f(q)$, and $f(1) = 3$, find the value of $$\frac {f^{2}(1)+f(2)}{f(1)} + \frac {f^{2}(2)+f(4)}{f(3)} + \frac {f^{2}(3)+f(6)}{f(5)} + \frac {f^{2}(4)+f(8)}{f(7)} + \frac {f^{2}(5)+f(10)}{f(9)}.$$

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