The value of 3/4 + 5/36 + 7/144 + …….+ 17/5184 + 19/8100 is
a) 0.99
b) 0.98
c) 0.95
d) None of these

• convert it into...
  [1-1/4]+[1/4-1/9]+[1/9-1/16]+...
  =1-1/100
  =0.99
• 10 years agoHelpfull: Yes(15) No(0)
• 3/4 + 5/36 + 7/144 + ........+ 17/5184 + 19/8100 = Sum ((1 + 2n) / (n(n+1))^2
  where n=1,2..9
  
  sum = 0.99
• 12 years agoHelpfull: Yes(9) No(7)
• i cant understand this pblm
• 12 years agoHelpfull: Yes(4) No(6)
• observe the series an prime no in the numerator and a perfect square in the denominator so in general nr=1+2n.dr=n(n+1)^2,n=1,2,3,....9....sum is 0.99
• 10 years agoHelpfull: Yes(1) No(0)
• how to come 1-1/100
• 10 years agoHelpfull: Yes(0) No(0)
• u can writre the statement as
  
  1-(1/4)=3/4
  1/4-(1/9)=5/36
  1/9-(1/16)=7/144
  
  so continuing like that we get
  1-(1/100)=.99
• 5 years agoHelpfull: Yes(0) No(0)