
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 the following three rows of numbers and answer the questions below:<br/>$-2$,$4$,$-8$,$16$,$-32$,$\ldots $；①<br/>$0$,$6$,$-6$,$18$,$-30$,$\ldots $；②<br/>$-1$,$2$,$-4$,$8$,$-16$,$\ldots $；③<br/>$(1)$ The fourth number in row ① is ______; the $n$th number in row ① is ______;<br/>$(2)$ Let the $n$th number in row ① be $a$, write down the $n$th number in row ② as ______ (expressed in terms of $a$);<br/>$(3)$ If the sum of three consecutive numbers in row ③ is exactly $-192$, find these three numbers.

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