
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 $\{a_n\}$ with the general term $$a_{n}= \begin{cases} \left.\begin{matrix}(-2)^{n} & \text{if } n\text{ is odd} \\ n & \text{if } n\text{ is even}\end{matrix}\right.\end{cases}$$, calculate the product of $a_{4}$ and $a_{3}$.

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