
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 the sequence $\{a_{n}\}$, where ${a_1}=\frac{3}{5}$, ${a_2}=\frac{1}{4}$, and ${a_n}{a_{n+2}}={a_{n+1}}$ ($n\in{N^*}$), find the value of $\frac{{\pi_{2023}}}{{a_{2022}}}$.

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