
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 arranged according to a certain rule:<br/>First row: $-3$, $9$, $-27$, $81$, $\ldots$;<br/>Second row: $-6$, $6$, $-30$, $78$, $\ldots$;<br/>Third row: $2$, $-10$, $26$, $-82$, $\ldots$.<br/>Answer the following questions:<br/>$(1)$ The 5th number in each row is: ______, ______, ______;<br/>$(2)$ In the first row, the sum of three adjacent numbers is $-1701$. Find these three numbers;<br/>$(3)$ Take the $n$th number of each row, denote their sum as $m$, and directly write down the difference between the largest and smallest numbers among these three numbers (expressed in terms of $m$).

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