
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
In an arithmetic sequence $\{a_n\}$, we have $a_9 = \frac{1}{2}a_{12} + 6$ and $a_2 = 4$. Let the sum of the first $n$ terms of $\{a_n\}$ be $S_n$. Then the sum of the first 10 terms of the sequence $\left\{\frac{1}{S_{n}}\right\}$ is
A) $\frac{11}{12}$
B) $\frac{10}{11}$
C) $\frac{9}{10}$
D) $\frac{8}{9}$

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