A tennis ball bounces on the ground n times. The heights of

Last updated: 7/16/2022

A tennis ball bounces on the ground n times. The heights of the bounces, h₁, h2, h3,..., hn, form a geometric sequence. The height that the ball bounces the first time, h₁, is 80 cm, and the second time, h2, is 60 cm. (a) Find the value of the common ratio for the sequence. (b) Find the height that the ball bounces the tenth time, h10 (c) Find the total distance travelled by the ball during the first six bounces (up and down). Give your answer correct to 2 decimal places.