Consider the abstract class Progression that sets an initial value and defines a way to compute its next value. Based on that class, define 3 specializations: ArithmeticProgression, GeometricProgression, and FibonacciProgression. Arithmetic Progression An arithmetic progression computes the next value by adding difference to the current value. For example, to create the arithmetic progression 0, 2, 4, 6, ... the initial value is 0 and the difference is 2. ArithmeticProgression defines 2 constructors: one that takes both the initial value and the difference, and another one that takes no value at all, setting the initial value to 0 and the difference to 1. Geometric Progression A geometric progression computes the next value by multiplying ratio to the current value. For example, to create the geometric progression 1, 2, 4, 8, ... the initial value is 1 and the ratio is 2. GeometricProgression defines 2 constructors: one that takes both the initial value and the ratio, and another that takes no value at all, setting the initial value to 1 and the ration to 2. Fibonacci Progression A fibonacci progression computes the next value by adding both previous numbers. For example, to create the fibonacci progression 1, 1, 2, 3, 5, 8, 13, ... the previous value is initially set to 0 and the value to 1. This should be done automatically by the fibonacci's default constructor (parameterless constructor). Submission Just submit a single file this time: Progression.java which should contain: the preamble comment with your name using the provided format classes Progression, ArithmeticProgression, GeometricProgression, and FibonacciProgression. There is no need to submit ProgressionTest.java. Rubric Pass all the tests and you are guarantee a 5 on this assignment. Each test that you fail you loose 1 point.
