AN ANT IS AT VERTEX A OF A REGULAR HEXAGON ABCDEF OF UNIT SIDE LENG...

5. An ant is at vertex A of a regular hexagon ABCDEF of unit side length, crawlingalong its perimeter. In the first move, it reaches vertex B. In each subsequentmove, it crawls twice the distance of the preceding move. What is the totaldistance it has crawled after 2009 moves, and at which vertex will it be?A BFCE D

The total distance is

Answer:

The ant stops at