Let A(1), A(2), A(3),…,A(n) be the verti...

Let `A_(1), A_(2), A_(3),…,A_(n)` be the vertices of an n-sided regular polygon such that `(1)/(A_(1)A_(2))=(1)/(A_(1)A_(3))+(1)/(A_(1)A_(4)).` Find the value of n.

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