ActionScript Array Duplication

[kdennis4]

I've got the following code:

private function addImageList():void{
var i:int;
for (i=0;i < multiProjects._files.length; i ++){
var thisImageList:String = multiProjects._files[i].name;
thisImageList += multiProjects._files[i].name;
Alert.show(thisImageList);
}
}

It's creating a comma-delimited list, but of the same name, then goes to the
next one... Testing it with my Alert. Any clues on how to resolve this and
concatenate and not duplicate? Thanks in advance for suggestions!