I'm assuming you're doing this to learn Java, so this should get you started:

int counter = 0; // Declare your variables
int value = 1;
int max = 10; // You can define ("hard code") this, or read it in
while(counter < max) {
System.out.println(value + " "); // This handles printing
value = value * 2;
counter++; // This will track how many numbers have already been printed
}

You can use that as a basis for figuring out the cubic part. The mechanics are essentially the same.

I'm assuming you're doing this to learn Java, so this should get you started:

int counter = 0; // Declare your variables
int value = 1;
int max = 10; // You can define ("hard code") this, or read it in
while(counter < max) {
System.out.println(value + " "); // This handles printing
value = value * 2;
counter++; // This will track how many numbers have already been printed
}

You can use that as a basis for figuring out the cubic part. The mechanics are essentially the same.

two remarks:
1 -> don't spoon feed code.
2 -> if you feel the need to spoon feed code anyway, make sure your code makes sense. I doubt you'll find the square root of 25 by value= value*2