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in Mathematics by (71.8k points)

Let a > 0, d > 0. Find the value of the determinant

|(1/a, 1/a(a + d), 1/(a + b)(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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Given, a > 0, d > 0 and let

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