SOLUTION: A ball takes 1 second to hit the ground when dropped.It then takes 90%of this time to rebound to its new height and this continues until the ball comes to rest.What is the geometri
Algebra ->
Sequences-and-series
-> SOLUTION: A ball takes 1 second to hit the ground when dropped.It then takes 90%of this time to rebound to its new height and this continues until the ball comes to rest.What is the geometri
Log On
Question 683555: A ball takes 1 second to hit the ground when dropped.It then takes 90%of this time to rebound to its new height and this continues until the ball comes to rest.What is the geometric sequence? Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! To fall down it takes 1second s.
To go up on rebound 0.9 s (90% of the time)
To fall down 0.9 s (When it falls down t=,no change in time)
To go up and rebound II 0.9*0.9 = 0.9^2
To fall down 0.9^2
To go up 0.9^3
To come down 0.9^3
Hence the time taken is 1 + 2(0.9) + 2(0.9) ^2 + 2(0.9) ^3 +...
