From the ground, a rubber ball is launched 60 feet into the air. The ball has a rebound ratio of 3/10.

Question

Write the geometric series that models the total vertical distance the ball will travel up and down after 6 bounces. How far will the ball have travelled up and down after the first 6 bounces? Show your work.

Answer 1

60(3/10)^(n-1)

6th term is a6 = 60(3/10)^(6-1) = 60(3/10)^5 = 60(243)/10^5= 14580/100000

= 0.1458

a1 = 60

a2 = 60(3/10) = 180/10 = 18

a3 = 18(3/10) = 54/10= 5.4

a4 = 5.4(3/10) = 16.2/10= 1.62

a5= 1.62(3/10) = 4.86/10= 0.486

a6 = .00486(3/10) = 1.458/10 = 0.1458