How do I select the next "n" elements starting from the current element in jQuery?

How do I select the next "n" elements starting from the current element? What I mean is...

 $(this).attr(...);

I want to do this "n" times. For the example of n=4:

$(this).attr(...);
$(this).next().attr(...);
$(this).next().next().attr(...);
$(this).next().next().next().attr(...);

or perhaps do it in a loop:

for (i = 0; i < n; i++) {
    $(this).next().attr(...);
}

How can I do this? Is there a way I can do this by selecting the next "n" elements or in a loop?