Fibonacci numbers arise in a variety of applications. Chose an application that lead to Fibonacci 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 relation a₁ = a1 + an-2. c) Find the explicit formula. Use the Linear Homogeneous Recurrence Relation with Constant Coefficient technique. d) Use the explicit formula in (c) to find a. Then, interpret your answer.

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