
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
Observe a group of numbers arranged according to a certain rule: $2$, $\frac{1}{2}$, $\frac{2}{7}$, $\ldots$, where the $n$th number is denoted as $a_{n}$; the $(n+1)$th number is denoted as $a_{n+1}$, and the $(n+2)$th number is denoted as $a_{n+2}$, satisfying $\frac{1}{{a}_{n}}+\frac{1}{{a}_{n+2}}=\frac{2}{{a}_{n+1}}$. Then, $a_{4}=$______, $a_{2023}=\_\_\_\_\_\_$.

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