(a) Objects & clasess (1.5 points)

A numeric progression is a sequence of numbers, where each number depends on one or more of previous numbers.

Design and implement two classes that define arithmetic and geometric progression. Start by defining a parent class called Progression. This class should contain the following instance variables : first first value of the progression cur current value of the progression Both variables should be initialized with values passed into the constructor . Progression should also have three methods: firstValue() Reset the progression to the first value, and return that value . nextValue() -Step the progression to the next value and return that value.

printProgression(n) Reset the progression and print the first n values of progression. Two classes should inherit from Progression:

• ArithProgression that defines and prints out an arithmetic progression, where the next value is determined by adding a fixed increment to the previous value. Set the default increment to 1 in the default constructor. Provide setinc() method to set the increment value.
• GeomProgression that steps and prints out a geometric progression, where the next value is determined by multiplying the previous value by a fixed base. Set the default base to 2 in the default constructor. Provide setbase() method to set the base value.

Test the classes in a Driver class . In the Driver class ,

• Print out the 10 Arithmetic progression with default increment and increment by 5 using constructor. Use setinc method to set increment by 10 and print out 10 Arithmetic progression also.

Print out the 10 Geometric progression with default base, base equal to 3 by using constructor. Use setbase method to set base equal to 5 and print out 10 Geometric progression also.