[填空题]
A bouncy ball is dropped from a hehi16f8m4zgy)cs d1cbhnhy (: ight of 2 metres 8 .itzjsu)h( 9x5m f g(k4ipgconto a concrete floor. After hitting the floor, the ball reboundsmh(ucp4j i(g8t.if g5xk z9s ) 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.
