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If \( a, a_{1}, a_{2}, \ldots, a_{2 n-1}, b \) are in A.P.,
\( a, b_{1}, b_{2}, \ldots ., b_{2 n-1}, b \) are in G.P. and \( a, c_{1}, c_{2}, \ldots ., c_{2 n-1}, b \) are in H.P. where \( a, b \) are positive, then
(A) \( a_{n}^{2}=b_{n} c_{n} \)
(B) \( c_{n}^{2}=a_{n} b_{n} \)
(C) \( b_{n}^{2}=c_{n} a_{n} \)
(D) none of these
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