
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
Suppose two arithmetic sequences $\{ \}_\{a\_n\}$ and $\{ \}_\{b\_n\}$ have the sum of their first $n$ terms as $S\_n$ and $T\_n$, respectively. Given that $\frac{s\_n}{T\_n} = \frac{7n}{n+3}$, find the value of $\frac{a\_5}{b\_5}$.

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