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Let \( a_{1}, a_{2}, a_{3} \) \( a_{n} \) is the sequence whose sum of first ' \( n \) ' terms is represented by \( S_{n}=a n^{3}+b n^{2}+c n, n \in N \). If \( a=\frac{a_{1}+a_{3}-x a_{2}}{y} \) then
\( \mathrm{P} \)
(A) H.C.F of \( (x, y) \) is 2
(B) H.C.F. of \( (x, y) \) is 3
(C) L.C.M of \( (x, y) \) is 6
(D) \( x+y=8 \)
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