Suppose \( a, b, c \) are in A.P. and \( a^{2}, b^{2}, c^{2} \) are in G.P. If \( abc \) and \( ...

Suppose \( a, b, c \) are in A.P. and \( a^{2}, b^{2}, c^{2} \) are in G.P. If \( abc \) and \( a+b+c=\frac{3}{2} \), then the value of \( a \) is
(A) \( \frac{1}{2 \sqrt{2}} \)
(B) \( \frac{1}{2}-\frac{1}{\sqrt{3}} \)
(C) \( \frac{1}{2 \sqrt{3}} \)
(D) \( \frac{1}{2}-\frac{1}{\sqrt{2}} \)