Get three blinking tiles and connect all three in a row (horizontal or vertical). The screen will flash with the message "ILLUSION - 1500000" and you will earn 1,500,000 points for the bonus.
If you're quick enough with the stylus, you can score chains even when the falling tiles don't line up as they fall. Simply make another move while the tiles are settling and, as long as you're not trying to move a tile which hasn't fallen yet, it'll be counted as part of the move.