Needed to be solved whole all correctly in 1 hour in the order to get positive feedback please show me neat and clean work for itBy hand solution neededPlease provide me a good result we will investigate some properties of the Fibonacci numbers. These are defined by F₁ = 1, F₂ = 1, andFn = Fn-1 + Fn-2for n ≥ 3.So the first few are given by 1, 1, 2, 3, 5, 8,.... Let a = 1+√5 and 3polynomial x²-x-1=0.Theorem 1 For all n N we have Fn = "-".Hint: this should involve no unpleasant algebra. Use the polynomial.Corollary 1 For all n EN, F, is the closest integer to1-5; these are the two roots of theHint: How big can F₁-be? Using the corollary, we find that F10 =Lemma 1 For all n EN we have 1+F2 +F4 + + F2n = F2n+1.********use a computer for this

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we will investigate some properties of the Fibonacci numbers. These are defined by F₁ = 1, F₂ = 1, and Fn = Fn-1 + Fn-2 for n ≥ 3. So the first few are given by 1, 1, 2, 3, 5, 8,… Let a = polynomial x²-x-1=0. Theorem 1 For all n N we have Fn = "-". Hint: this should involve no unpleasant algebra. Use the polynomial. Corollary 1 For all n EN, F₁ is the closest integer to 1+√5 and 3 = 1-5; these are the two roots of the Hint: How big can F₁-be? Using the corollary, we find that Fio Lemma 1 For all n EN we have 1+F₂ +F4 + + F2n = F2n+1. ******** use a computer for this

we will investigate some properties of the Fibonacci numbers. These are defined by F₁ = 1, F₂ = 1, and Fn = Fn-1 + Fn-2 for n ≥ 3. So the first few are given by 1, 1, 2, 3, 5, 8,… Let a = polynomial x²-x-1=0. Theorem 1 For all n N we have Fn = "-". Hint: this should involve no unpleasant algebra. Use the polynomial. Corollary 1 For all n EN, F₁ is the closest integer to 1+√5 and 3 = 1-5; these are the two roots of the Hint: How big can F₁-be? Using the corollary, we find that Fio Lemma 1 For all n EN we have 1+F₂ +F4 + + F2n = F2n+1. ******** use a computer for this

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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