Forget about Java.
How would YOU do it, using pencil and paper? Or even better, how would you tell a young child to do it? It helps to literally write it out in Notepad,
Word, or some text editor. I'd do it something like this:
ask someone to give you a string.
print every other letter
quit
Ok...so..do i know how to do each of those steps? You state yes for the first, and no for the second. So, start breaking it down.
ask someone to give you a string.
print every other letter
Find the first character
decide if it should be printed
until you are out of letters
find the next letter
decide if it should be printed
quit
Ok, can I do each of THOSE? if not, break them down. if so, start coding. Even if you only know how to do some of those, you can code up that part, and then write dummy code...someting like a System.out.println("I need to decide if I should print the letter " + myCurrentLetter);
the important things are:
1) TRY something
2) Have a good idea what you are trying to do
3) Try SMALL pieces at a time.