How can I solve this problem with recursion in JAVA? Please please please don't use while loop!

Question:

In this session, you need to implement the crazy series method. In the crazy series, you will be given a starting number. Then, you need to times 2 for each number until the number is greater than 100. After the number is greater than 100, you need to divide 3 until we reach the number is less than 5. Note that the input number must be greater than 0, and you are not allowed to use loop here.

For example,

crazySeries(10) should return ArrayList [10.0, 20.0, 40.0, 80.0, 160.0, 53.333333333333336, 17.77777777777778, 5.9259259259259265, 1.9753086419753088]

crazySeries(5) should return ArrayList [5.0, 10.0, 20.0, 40.0, 80.0, 160.0, 53.333333333333336, 17.77777777777778, 5.9259259259259265, 1.9753086419753088]

crazySeries(1) should return ArrayList [1.0, 2.0, 4.0, 8.0, 16.0, 32.0, 64.0, 128.0, 42.666666666666664, 14.222222222222221, 4.7407407407407405]

Starter Code is given as below:

public class A1 {

public static void main(String[] args) {

System.out.println(crazySeries(10));

System.out.println(crazySeries(5));

System.out.println(crazySeries(1));

}

public static ArrayList crazySeries(int start) {

// Code

}

}