If \(an \ne 0\) and \(n\) is a positive integer, is \(n\) odd?

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If \(an \ne 0\) and \(n\) is a positive integer, is \(n\) odd?

(1) \(a^n + a^{n + 1} < 0\)

(2) \(a\) is an integer.

Answer: C

Source: Manhattan GMAT