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If \( a_{1}, a_{2}, a_{3}, a_{4}, \ldots ., a_{n-1}, a_{n} \) are distinct non-zero real
P
numbers such that
W
\[
\begin{array}{l}
\left(a_{1}^{2}+a_{2}^{2}+a_{3}^{2}+\ldots+a_{n-1}^{2}\right) x^{2}+ \\
2\left(a_{1} a_{2}+a_{2} a_{3}+a_{3} a_{4}+\ldots+a_{n-1} a_{n}\right) x+ \\
\left(a_{2}^{2}+a_{3}^{2}+a_{4}^{2}+\ldots+a_{n}^{2}\right) \leq 0,
\end{array}
\]
then \( a_{1}, a_{2}, a_{3}, a_{4}, \ldots ., a_{n-1}, a_{n} \) are in
(1) A.P.
(2) G.P.
(3) H.P.
(4) A.G.P.
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