\f(* *##) A ball is dropped from a height of 5 m. It bounces, falls back, and bounces again. Each bounce reaches 7/8 the height of the bounce before. Thus, after the ball hits the floor for the first time, it rises to a height of h1 = 5( ) = 4.375 m, etc. A. Find an expression for the height, in meters, to which the ball rises after it hits the floor for the nth time: hn = B. Find an expression for the total vertical distance the ball has traveled, in meters, when it hits the floor for the first, second, third and fourth times: first time: P1 = second time: D2 = third time: D3 = fourth time: DA = C. Find formula involving n that gives the total vertical distance the ball has traveled when it hits the floor for the nth time. Dn =(c) Find the largest interval including 0 en which the following series converges: X 43 c(p) = 2"'5i112\"( ) g 128