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If |(x+1,x+2,x+a),(x+2,x+3,x+b),(x+3,x+4...

If `|(x+1,x+2,x+a),(x+2,x+3,x+b),(x+3,x+4,x+c)|=0,` then, prove that `a,b,c` are in A.P.

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