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Show that : i^(101)+i^(102)+i^(103)+i^(1...

Show that : `i^(101)+i^(102)+i^(103)+i^(104)=0`

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Statement I : The area of the triangle formed by the points A(100, 102), B(102, 105), C(104, 107) is same as the area formed by A'(0, 0), B' (2, 3), C'(4, 5). Statement II : The area of the triangle is constant wih respect to translation.

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