the tree grows first day 1/2 of its original size,grows 1/3 of its prevous day size,and grows 1/4 and so on.How many days it will take to grow 100 times to the original size of tree?

• 198 days
  
  suppose 'x' is initial size and 'n' is no. of days.
  
  1st day increment in size of tree = (1/2)x
  After 1st day , size of tree = x+(1/2)x= (3/2)x
  
  2nd day increment in size of tree = (1/3)*(3/2)x=(1/2)x
  After 2nd day , size of tree = (3/2)x+(1/2)x=2x
  
  3rd day increment in size of tree =(1/4)*2x=(1/2)x
  After 3rd day , size of tree = 2x+(1/2)=(5/2)x
  
  It is clear that every day tree grows (1/2)x in size.
  
  therefore , according to given condition
  
  x+ (1/2)x*n=100x
  n=198 days.
• 12 years agoHelpfull: Yes(4) No(0)