
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
Let $S_{n}$ and $T_{n}$ denote the sum of the first $n$ terms of the arithmetic sequences ${ a_{n} }$ and ${ b_{n} }$, 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