Fibonacci numbers arise in a variety of applications. Chose an application that lead toFibonacci numbers (Other than the population of rabbit).a) Describe the application with illustrative figures (if any).b) Define a, and initial conditions. Then show that it satisfies the recurrence relationa₁ = a₁-1+an-2.c) Find the explicit formula. Use the Linear Homogeneous Recurrence Relation withConstant Coefficient technique.d) Use the explicit formula in (c) to find a. Then, interpret your answer.

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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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