Let \( a, b, c \) be such that \( b(a+c) \neq 0 \). If \( \left|\be...

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Let \( a, b, c \) be such that \( b(a+c) \neq 0 \). If \( \left|\begin{array}{ccc}a & a+1 & a-1 \\ -b & b+1 & b-1 \\ c & c-1 & c+1\end{array}\right|+\left|\begin{array}{ccc}a+1 & b+1 & c-1 \\ a-1 & b-1 & c+1 \\ (-1)^{n+2} a & (-1)^{n+1} b & (-1)^{n} c\end{array}\right|=0 \),
\( \mathrm{P} \) then the value of \( \mathrm{n} \) is :-

W
(1) Any odd integer
(2) Any integer
(3) Zero
(4) Any even integer
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