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let a > 0 , d > 0 find the value of the ...

let `a > 0 , d > 0` find the value of the determinant `|[1/a,1/(a(a + d)),1/( (a + d) (a +2d))],[1/(a+ d),1/( (a+ d) (a + 2d)), 1/((a+2d) (a + 3d))],[1/(a +2d), 1/((a + 2d) (a +3d)), 1/((a+3d) (a + 4d))]|`

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The correct Answer is:
`(4d)/(a(a+d)^(2)(a+2d)^(3)(a+3d)^(2)(a+4d))`
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