How to play nested movieclip with name assigned by variable

Flash CS4; AS3.

Here is my code:

import flash.display.StageDisplayState
 
stage.displayState = StageDisplayState.FULL_SCREEN;

var mcName:String = new String();
var mcTextName:String = new String();
var i:Number;

LoadIntroWords();

function LoadIntroWords():void{
      for (i = 1;i <= 5;i++)
      {
            nestedClip = "introDText" + i ;
            mainClip =  nestedClip + i + "_mc";
            this[mainClip].nestedClip.play();
      }
}

(Well, basically. I simplified it with some names that make sense but this should give the idea.)

I want to cycle through 5 nested movieclips (introDText1 inside of introDText1_mc, etc.).

I can't get them to play.  How would YOU write this code to make it work?