
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
A sequence \\(\{a_n\}\) is called an "equal variance sequence" if \\(a_n^2 - a_{n+1}^2 = p\\), where \\(n \geqslant 1, n \in \mathbb{N}^*, p\\) is a constant. Consider the following statements about "equal variance sequences":
1. If \\(\{a_n\}\) is an equal variance sequence, then \\(\{a_n^2\}\) is an arithmetic sequence;
2. \\(\{(-1)^n\}\) is an equal variance sequence;
3. If \\(\{a_n\}\) is an equal variance sequence, then \\(\{a_{kn}\} (k \in \mathbb{N}^*, k\\) is constant) is also an equal variance sequence.

Identify the true statements by filling in the blanks with the appropriate numbers.

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