Tính \( a_2, a_3, \ldots, a_n \)

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Bài 2: Cho

\[
\frac{a_1}{a_2} = \frac{a_2}{a_3} = \ldots = \frac{a_{n-1}}{a_n} = \frac{a_n}{a_1}
\]

\[
a_1 + a_2 + \ldots + a_n \neq 0; \quad a_1 = -\sqrt{5}
\]

Tinh \( a_2, a_3, \ldots, a_n \).