Use induction to prove the identity. (F_{n}=frac{R_{+}^{n}-R_{-}^{n}}{sqrt{5}}), where (R_{ pm}=frac{1 pm sqrt{5}}{2})

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Use induction to prove the identity.

\(F_{n}=\frac{R_{+}^{n}-R_{-}^{n}}{\sqrt{5}}\), where \(R_{ \pm}=\frac{1 \pm \sqrt{5}}{2}\)

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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