
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
Let the formula for the \(n\)-th term of the sequence be \(x = n^2\). Write down in a row the first 10 terms of this sequence. Write down the sequence of differences between the second and first terms, the third and second terms, etc. Write down another sequence of differences between the second and first terms, the third and second terms, etc., of the second sequence. Write down a few members of the corresponding fourth sequence. What are the members of the fifth, sixth, ... sequences?

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