
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 function $f(x)$ satisfies: $f(p+q)=f(p)f(q)$, $f(1)=3$, 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