A rubber ball is dropped from a height of 10 m. It rebounds 1/2 the distance after each fall. What is the total distance the rubber ball travels?
It will drop the 10 m then it will become a geometric sequence
10 + 10 + 5 + 2.5 etc
10 + geometric sequance a1 =10 r = 1/2
sum of geometric sequence = a1 (1/(1-r))
= 10 (1 /1/2) = 20
10 + geometr seq sum = 10 + 20 = 30 m