
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
The Fibonacci sequence, also known as the golden ratio sequence, is regarded as the most beautiful sequence. If the sequence $\{a_{n}\}$ satisfies $a_{1}=1$, $a_{2}=1$, and ${a}_{n}={a}_{n-1}+{a}_{n-2}$ $(n≥3, n∈{N}^{*})$, then the sequence $\{a_{n}\}$ is called the Fibonacci sequence. Find the value of $\frac{{a}_{1}^{2}+{a}_{2}^{2}+⋯+{a}_{2023}^{2}}{2{a}_{2023}{a}_{2024}}$.

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