The Droste Effect, named after the image on boxes of Droste cocoa powder, refers to an image that contains within it a smaller version of the image, which in turn contains an even smaller version, and...

The Droste Effect, named after the image on boxes of Droste cocoa powder, refers to an image that contains within it a smaller version of the image, which in turn contains an even smaller version, and so on. If each version of the image is 1/5 the height of the previous version, the height of the nth version is given by  Suppose a Droste image on a package has a height of 4 inches. How tall would the image be in the 6th version?