
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 two arithmetic sequences $\{a\_n\}$ and $\{b\_n\}$ with the sum of their first $n$ terms being $S_n$ and $T_n$ respectively. The ratio of these sums is $S_n/T_n = (3n+1)/(n+3)$. Find the value of $(a_2+a_{20})/(b_7+b_{15})$.

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