
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
For two arithmetic sequences $\{a_n\}$ and $\{b_n\}$, the sum of the first $n$ terms are denoted by $S_n$ and $T_n$ respectively, and it is given that $\frac {S_n}{T_n} = \frac {7n+2}{n+3}$. Determine the value of $\frac {a_2+a_{20}}{b_7+b_{15}}$.

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