A special rubber ball is dropped from the top of a wall that

A special rubber ball is dropped from the top of a wall that is 64 meters high. Each time the ball bounces, it rises half as high as the distance it fell. The ball is caught when it bounces 1 meter high. How many times did the ball bounce?

Solution

Solution

nth term of a GP is given by,

Tn = a*r^(n-1)

here,

1=64*(1/2)^(n-1)

or, n=7

ball will bounce n-1= 6 times.