
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 an arithmetic sequence $\left\{a_n\right\}$, where $a_7=4$, and $a_{19}=2a_9$,

(1) Find the general formula for $\left\{a_n\right\}$.

(2) Let $b_n=\frac{1}{na_n}$, calculate the sum of the first $n$ terms of the sequence $\left\{b_n\right\}$, denoted as $S_n$.

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