# Arc Again And Tangent Again!

**Geometry**Level 2

\[\arctan \dfrac{1}{3} + \arctan \dfrac{1}{4}+\arctan \dfrac{1}{5}+\arctan \dfrac{1}{n} = \dfrac{\pi}{4} \]

Find the positive integer \(n\) such that the above equality is true.

\[\arctan \dfrac{1}{3} + \arctan \dfrac{1}{4}+\arctan \dfrac{1}{5}+\arctan \dfrac{1}{n} = \dfrac{\pi}{4} \]

Find the positive integer \(n\) such that the above equality is true.

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