[填空题]
A bouncy ball is dropped from a h z(q(wp+1ugvx-s* peaeiwm/ ;+yuo1j1 jopad+t ght of 2 metres onto a concrete floor. After hittingjp;wo 1a1t mu++d o/yj the floor, the ball rebounds back up to 80 % of it's previous height, and this pattern continues on repeatedly, until coming to rest.
1.Show that the total distance travelled by the ball until coming to rest can be expressed by
2+4(0.8)+4(0.8)$^2$+4(0.8)$^3$+...
2.Find an expression for the total distance travelled by the ball, in terms of the number of bounces, n.
3.Find the total distance travelled by the ball.S= metres.
