
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 numerical sequence \(a_{0}, a_{1}, a_{2}, \ldots \) is such that for all non-negative \(m\) and \(n\) (where \(m \geq n\)), the following relation holds:

\[a_{m+n} + a_{m-n} = \frac{1}{2} (a_{2m} + a_{2n})\]

Find \(a_{1995}\) if \(a_{1} = 1\).

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