
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 partial sums $S_{n}$ and $T_{n}$ respectively, if $\frac{S_{n}}{T_{n}} = \frac{4n + 1}{3n - 1}$, find the value of $\frac{a_{7}}{b_{7}}$.

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