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Let a, b, c be such that b(a+c) ne 0. If...

Let `a, b, c` be such that `b(a+c) ne 0`. If ` |[a,a+1,a-1],[-b,b+1,b-1],[c,c-1,c+1]|+ |[a+1,b+1,c-1],[a-1,b-1,c+1],[(-1)^(n+2) a ,(-1)^(n+1) b ,(-1)^(n) c]|=0` then the value of `n` is

A

any integer

B

zero

C

any even integer

D

any odd integer

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The correct Answer is:
D
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