Use the following recursive formula to answer the question a1 = -3/2
an = an-1+1/2

What is a9

Enter your answer as a fraction, like this:42/53

Set $r$ is a set of rectangles such that (1) only the grid points shown here are used as vertices, (2) all sides are vertical or horizontal and (3) no two rectangles in the set are congruent. if $r$ contains the maximum possible number of rectangles given these conditions, what fraction of the rectangles in set $r$ are squares? express your answer as a common fraction.