
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
If the sequence $\{a_n\}$ is a geometric sequence and $$\frac {a_{1}+3a_{3}}{a_{2}+3a_{4}}$$ equals $$\frac {1}{2}$$, find the value of $$\frac {a_{4}a_{6}+a_{6}a_{8}}{a_{6}a_{8}+a_{8}a_{10}}$$.
A) $$\frac {1}{6}$$
B) $$\frac {1}{4}$$
C) $$\frac {1}{12}$$
D) $$\frac {1}{16}$$

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