Rich and Amy love each other very much. They are sharing a cookie. Rich takes half of the cookie and gives the other half to Amy. But Amy loves Rich
so much that she does not eat her whole piece. Instead, she takes half of it
and gives the rest back to Rich. Then he breaks the cookie in half again and
gives the rest back to Amy. They keep up this cute game until the crumb they
are passing back and forth is too small to work with.
$
Rich
Amy
Rich
Amy
Rich
Amy Rich Amy
Here is the sequence of cookie sizes:
1,
1 1 1 1
Z'A' ' 16' 32
What fraction of a whole cookie is represented by the 9th term of this
sequence?