
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 sequence $\{ a_{n} \}$ is a geometric sequence and $a_{n} > 0$, $a_{2}a_{4} + 2a_{3}a_{5} + a_{4}a_{6} = 25,$ find the value of $a_{3} + a_{5}$.

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