How can I cycle a class on 3 elements

I'm using jCarouselLite to cycle between 3 elements. I've setup the plugin to do this fine, including 3x .bulletX which slides to each element, i.e. bullet 1 slides to element 1, etc.

However what I want is to cycle the class .active on the .bulletX to designate which element is being shown, similar to nivoslider.

<div class="bullet1">If this is clicked, is leads to element1</div>
<div class="bullet2">If this is clicked, is leads to element2</div>
<div class="bullet3">If this is clicked, is leads to element3</div>

I feel like there is something I can do with .addClass and .removeClass, but can't quite get the semantics of a loop in my head.

.active applied to .bullet2 manually

Edit Full HTML

<div class="twwetHolder">
    <div class="tweet">
     <ul>
        <li>
            <div>element 1</div>
        </li>
        <li>
            <div>element 2</div>
        </li>
        <li>
            <div>element 3</div>
        </li>
     </ul>

    </div>  
<div class="bullet1"></div>
<div class="bullet2"></div>
<div class="bullet3"></div>
</div>

Update:

I'd suggest you add a class to each bullet (another) and then use the btnGo event and a click event to add the class.

http://jsfiddle.net/lucuma/fg6d4/1/

<div class="bullet1 btngo">a</div>
<div class="bullet2 btngo">b</div>
<div class="bullet3 btngo">c</div>

$('.tweet').jCarouselLite({btnGo:$('.btngo')});

    $('.btngo').click(function() {
       $('.btngo').removeClass('active'); 
       $(this).addClass('active');

    });
​

Original:

You could try these options:

 beforeStart: function(a) {
      $(a).removeClass('active');
    },
   afterEnd: function(a) {
        $(a).addClass('active');
    }