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Let {x} and [x] denote the fractional pa...

Let {x} and [x] denote the fractional part of x and the greatest interger `le x` respectively of a real number x. if `int_(0)^(n) {x} dx, int_(0)^(n)[x] dx` and `10(n^2-n),` `(n in N, n gt 1)` are three consecutive terms of a G.P then n is equal to ______.

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