
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 terms of the sequences are defined by the following formulas:
1) \(x=|n-3|\)
2) \(y=(-1)^{n}\)
3) \(z=(-1)^{n}-|n-5|\)
4) \(t=2^{|n-2|+1}\)
5) \(v=(-1)^{n} \cdot n\)
6) \(w=\left|2^{n}-n^{2}\right|\).

Is there a greatest term or a least term among the terms of each of these sequences?

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