Fibonacci

Background

The fibonacci sequence is a mathematical concept often used in computer science as a means to demonstrate iteration and recursion. Although you should be familiar with it from CSE 131, we will use the fibonacci sequence to demonstrate memoization and dynamic programming. Follow these links for a quick recap on memoization, dynamic programming, and the fibonacci sequence.

Where to Start

You will need to return the number associated with a given position in the fibonacci sequence. For example, if 0 was fed in, the method should return 0. 1 should return 1, 2 should return 1, 3 should return 2, and so on.

JUnit Test Suite

FibonacciTestSuite

Studio (Required)

RecurrenceRelationSequentialFibonacciCalculator

recurrence relation: Fn = Fn-1 + Fn-2

seed values: F0=0, F1=1

Fun (Optional)

RoundPhiToTheNOverSqrt5SequentialFibonacciCalculator

(Phi ^ n) / sqrt( 5 )