
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 that the arithmetic sequences ${a_n}$ and ${b_n}$ have their first n terms sums as $S_n$ and $T_n$ respectively, if $$\frac{S_n}{T_n} = \frac{n + 2}{n + 1}$$, determine the value of $\frac{a_6}{b_8}$.

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