
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 a sequence $\{a_n\}$ satisfying $a_1=2$ and $a_{n+1}=-2a_{n}$ for $n\in \mathbb{N}^*$, find the general term $a_n$ of the sequence. Furthermore, if one term is randomly selected from the first 10 terms of the sequence, what is the probability that the chosen term is greater than or equal to 8?

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