
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
The sequences ${a_n}$ and ${b_n}$ are arithmetic sequences with sums of the first $n$ terms denoted as $S_n$ and $T_n$, respectively. The ratio $\frac{S_n}{T_n} = \frac{7n+2}{n+3}$. Determine the value of $\frac{a_{10}}{b_{10}}$ and select the correct option.
A) $\frac{72}{13}$
B) $\frac{135}{22}$
C) $\frac{79}{14}$
D) $\frac{142}{23}$

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