A Progressive Problem

**Objective:**

Write a class called **MathProgressions** which has a main method (NOPE! NO DRIVERS THIS WEEK), and two methods which will calculate the **geometric **and **harmonic **progressions via a recursive method.

The class **MathProgressions **needs to have the following:

- Make sure to
**import java.util.*;**

- Static Methods
- Main method which handles all of the input and output. The user is asked to enter a number and then for that number it gives both the geometric and harmonic progressions for every number up until (and including) that number.
**geometric:**Is a method which takes in a number and then returns that value of the number in the geometric sequence. The geometric sequence is represented by:

** **

Which mean it’s the product of all of the numbers up until that number.

**harmonic:**Is a method which takes a number and then returns the value of the number in the harmonic sequence. The harmonic sequence is represented by:

Which means the product of the inverse of the first n numbers.

- NOTE: MAKE SURE EACH OF THESE ARE SOLVED RECURSIVELY AND NOT WITH A LOOP OR ELSE -79 FOR YOU!!!
- NOTE: YOU MAY USE A LOOP TO PRINT OUT THE PROGRESSION BUT NOT FOR THE CALCULATION

** **

**Example Dialog:**

** **

**Enter a number and I'll give you the geometric and harmonic sequences**

**10**

**Geometric is:**

**1=1.0 2=2.0 3=6.0 4=24.0 5=120.0 6=720.0 7=5040.0 8=40320.0 9=362880.0 10=3628800.0**

**Harmonic is:**

**1=1.0 2=0.5 3=0.16666666666666666 4=0.041666666666666664 5=0.008333333333333333 6=0.0013888888888888887 7=1.9841269841269839E-4 8=2.4801587301587298E-5 9=2.7557319223985884E-6 10=2.7557319223985883E-7**

**Finally:**

Upload the .java file

Subject | Computer |

Due By (Pacific Time) | 02/11/2015 01:00 pm |

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