[jQuery] I can't understand how work with elemetnts

[Vic]

At first sorry for my English

I have stupid problem:
There is document like that:
<ul class="class1">
<li class="selected">Item 1</li>
<li>Item 2</li>
<li>Item 3</li>
</ul>
.....
<ul class="class1">
<li class="selected">Item 1</li>
<li>Item 2</li>
<li>Item 3</li>
</ul>
.....
<ul class="class1">
<li class="selected">Item 1</li>
<li>Item 2</li>
<li>Item 3</li>
</ul>

-------------------------
and css like that:
ul.class1 li {
dispaly: none;
}
.selected {
display: list-item;
}

And I have function:
setType = function(n) {
   $('ul.class1').each(function() {
      $(this).children("li").each(function(i) {
        if( i != n ) $(this).removeClass("selected");
        else $(this).addClass("selected");
      });
   });
}

I work with lists so:
setType(2)

Iwould like to add some effects to this action ( fadeOut and fadeIn )
First part of code I can write:

$('ul.class1 li.selected').fadeOut("slow");

And it works fine.

But now I have to show list items and add class "selected".
I can't understand, how I can select item number "i" in each list to
make fadeIn and addClass to it ?