Answer:
f ( 7 ) = 2.4 ft
Step-by-step explanation:
Solution:-
- This is modeled using a geometric sequence function with initial height from which ball is dropped hi = 18 feet, and a decrease in height by 25% after each successive bounce :
            f ( x ) = 18 (0.75)^x
Where,  x e [ 0 , ∞ ) : The number of bounces.
       f (x) : The maximum height after xth bounce.
- The maximum height reached by the ball after its 7th bounce. So, x = 7:
            f ( 7 ) = 18 (0.75)^7
            f ( 7 ) = 2.4027 ft
- To the nearest tenth:
           f ( 7 ) = 2.4 ft
