Why I receive this peculiar different result?

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Question:Why I receive this peculiar different result?

Posted: mehdibgh 240 Product: Maple

September 15 2018

I have 2 same integrals, but there is difference between them at the end.WHy?

I__1 := add(int(zt*ro[i], zt = Z[i] .. Z[i+1]), i = 1 .. N)

(1/2)*ro[1]*(-Z[1]^2+Z[2]^2)+(1/2)*ro[2]*(-Z[2]^2+Z[3]^2)+(1/2)*ro[3]*(-Z[3]^2+Z[4]^2)+(1/2)*ro[4]*(-Z[4]^2+Z[5]^2)+(1/2)*ro[5]*(-Z[5]^2+Z[6]^2)+(1/2)*ro[6]*(-Z[6]^2+Z[7]^2)+(1/2)*ro[7]*(-Z[7]^2+Z[8]^2)+(1/2)*ro[8]*(-Z[8]^2+Z[9]^2)

(1)

ro := Vector(8, {(1) = 2051.904, (2) = 2051.904, (3) = 2051.904, (4) = 2051.904, (5) = 2051.904, (6) = 2051.904, (7) = 2051.904, (8) = 2051.904})

Z := Vector(9, {(1) = -0.4998720000e-6, (2) = -0.3749040000e-6, (3) = -0.2499360000e-6, (4) = -0.1249680000e-6, (5) = 0, (6) = 0.1249680000e-6, (7) = 0.2499360000e-6, (8) = 0.3749040000e-6, (9) = 0.4998720000e-6})