What is the next number of the following sequence
(2/3),(5/3),(19/ 6),(31/6),(23/3),(32/3),(85/6),?

• (2/3),(5/3),(19/6),(31/6),(23/3),(32/3),(85/6),?
  [(2/3),(5/3)],[(19/6),(31/6)],[(23/3),(32/3)],[(85/6),x]
  5/3 -2/3 =1
  31/6 -19/6=2
  32/3 -23/3=3
  (x- 85/6)=4 =>x=85/6+ 24/6 = 109/6
• 10 years agoHelpfull: Yes(35) No(1)
• 2/3+1=5/3, 5/3+3/2=19/6, 19/6+2=31/6, 31/6+5/2=23/3, 23/3+3=32/3, 32/3+7/2=85/6, 85/6+4=109/6
  
  Ans= 109/6...
• 10 years agoHelpfull: Yes(5) No(2)
• 109/6.Because 2/3 + 1=5/3 , 19/6 + 2 =31/6 , 23/3 + 3=32 / 3 SO 85/6 + 4=109/6.
• 10 years agoHelpfull: Yes(4) No(1)
• The next term is 128/6.
• 10 years agoHelpfull: Yes(2) No(9)
• 109/6
  Subtraction of 5/3-2/3 ->1
  Subtraction of 31/6-19/6->2
  Subtrction of 32/3-23/3->3
  subtraction of 109/6-85/6->4
• 10 years agoHelpfull: Yes(1) No(2)
• sorry its 109/6
• 10 years agoHelpfull: Yes(1) No(1)
• ans : 109/6
• 10 years agoHelpfull: Yes(1) No(0)
• Ans : 108/6
  
  2/3,5/3,19/6,31/6,23/3,32/3,85/6,x
  
  5/3-2/3= 1
  19/6-5/3= 9/2
  31/6-19/6= 2
  23/3-31/6= 5/2
  32/3-23/3= 3
  85/6-32/3 = 7/2
  Therefore the difference of next 2 terms should be 4
  x-85/6=4
  x=108/6
  
  
  Ans : 108/6
  
  
• 10 years agoHelpfull: Yes(0) No(9)