
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
In the positive geometric sequence {a<sub>n</sub>}, a<sub>n+1</sub> < a<sub>n</sub>, a<sub>2</sub>a<sub>8</sub> = 6, a<sub>4</sub> + a<sub>6</sub> = 5, find the value of $$\frac {a_{3}}{a_{7}}$$.

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