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bradley dropped a ball from a roof 16 feet high. each time the ball hits the ground, it bounces 3/5 the previous height. find the height the ball will bounce after hitting the ground the fourth time.
(show work)

3.456 feet

Step-by-step explanation:

This is a geometric progression problem.

where the first term (a) = 16

common ratio ( r ) = 3/5

the height the ball will bounce after hitting the ground the fourth time means we are to find the fourth term of the sequence.

The formula for calculating the fourth term of a geometric sequence is given by :

=

Therefore :

= 16

= 16 x

= 16 x 0.216

= 3.456

Therefore ; he height the ball will bounce after hitting the ground the fourth time = 3.456 feet