Question

A ball is dropped from a tower . the table shows the heights of the ball's bounces,which form a geometric sequence.what is the height of the next bounce?​

Answer 1

Answer:

Step-by-step explanation:

Let distance in 4th bounce be x cm

Since it is a geometric sequence,

300/150 = 75/x

Therefore x= 37.5 cm

Answer 2

Given: the heights of the ball's bounces up till the 3rd bounce

To find: the height of the next bounce

Solution: Let the height of the next (i.e. 4th) bounce be x cm.

Since the heights of the bounces form a geometric sequence,

300/150 = 75/x

⇒ 2 = 75/x

⇒ x = 75/2

⇒ x = 37.5

Hence the height of the next bounce is 37.5 cm.