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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The statement presented in your question is a formula for the nth Fibonacci number in terms of R and ...View the full answer
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