Week #4- Recursion

-Create a class called Week4Main, in package week4, with a main method.

Add methods harmonicI, harmonicR, and lucasR to the Week4Main class as described in these sections:

A

-Define Hn=11+12+13+14++1n - these are referred to as the harmonic numbers.

-Write a private static double method in Week4Main called harmonicI which is iterative, that takes in integer n as input, and returns Hn . -Write a private static double method in Week4Main called harmonicR which is recursive , that takes in integer n as input, that returns Hn .

B

-The Lucas numbers are a sequence of integers, named after douard Lucas, which are closely related to the Fibonacci sequence. In fact, they are defined in very much the same way: Ln=2if n=0;1if n=1;Ln-1+Ln-2if n>1

-Using the recursive description above, write a private static int method in Week4Main called lucasR which takes one parameter, n, and computes the n^th Lucas number L_n.

Requirements/Constraints/Hints:

The code in the public static void main method for Week4Main will not be tested or counted as part of your grade, but you may use it yourself for testing.

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