A ball falls from a height of 8ft , bounces back to half the distance & continues till it comes to rest.what is the total distance travelled by the ball?

• Total distance traveled by the ball = 24ft.
  
  Distance = 8+2(4+2+0.5+0.25+....)
  ==> 8+2*4/(1-1/2)
  ==> 8+16 = 24
• 12 years agoHelpfull: Yes(75) No(22)
• 8+(twice the sum of infinite terms of the GP 4,2,1,.5....)
  8+2*(4/(1-.5))
  8+2*8=8+16=24
• 12 years agoHelpfull: Yes(28) No(6)
• 23.50 feet
  1st dropped 8ft
  2nd jump 4ft(4+4)
  3rd jump 2ft(2+2)
  4th jump 1ft(1+1)
  5th jump .5ft(.5+.5)
  6th jump .25(.25+.25)
  ........
  
• 12 years agoHelpfull: Yes(10) No(12)
• distance=8+4+2+1+.5+.25+.125+.........
  ( this value never exceeds 16 )
  approximately = 16
  
• 12 years agoHelpfull: Yes(5) No(19)
• ans 24
  8+4+4+2+2+1+1+.5+.5+.25+.25+0.125+0.125+0.0625+0.0625+...........
• 11 years agoHelpfull: Yes(4) No(1)
• ans: 16
  the form is:8+4+2+1+1/2+...... it is in GP infinite loop
  ie 8/(1-1/2)=16
• 12 years agoHelpfull: Yes(3) No(3)
• 23.50 feet
  1st dropped 8ft
  2nd jump 4ft(4+4)
  3rd jump 2ft(2+2)
  4th jump 1ft(1+1)
  5th jump .5ft(.5+.5)
  6th jump .25(.25+.25)=23.5
• 12 years agoHelpfull: Yes(2) No(11)
• 8+4+2+1=15ft
• 12 years agoHelpfull: Yes(1) No(43)