What is the value of the following series 1/7 + 2/72 + 1/73 +2/74 + 1/75 +

• I think
  qn should be
  What is the value of the following series
  
  1/7 + 2/7^2 + 1/7^3 +2/7^4 + 1/7^5 +................
• 12 years agoHelpfull: Yes(21) No(6)
• if the question is as
  1/7 + 2/7^2 + 1/7^3 +2/7^4 + 1/7^5 +.......
  then it can be written as
  { 1/7(1 + 1/7^2 + 1/7^4 +....) } + { 2/7^2 (1+ 1/7^2 +7^4 +.....) }
  which can b further written as
  =(1+ 1/7^2 +7^4 +.....)(1/7 + 2/7^2)
  =(1+0.02+0.0004+......)(9/49)
  ~(1)(9/49)
  =9/49
  
• 10 years agoHelpfull: Yes(9) No(0)
• ans will be: 2/76
  
  
• 12 years agoHelpfull: Yes(4) No(16)
• 2/76
  nr comes alternatively 1&2 and dr increased by 1
• 12 years agoHelpfull: Yes(1) No(5)
• first 1/71, 2/72
  2nd 1/73, 2/74
  3rd 1/75, 2/76
  
• 11 years agoHelpfull: Yes(0) No(4)
• ans is 2/76
  sol.- num is 1,2 repeat continuesly
  denm is 70,71,72,73,74,75so nxt is 76.
• 11 years agoHelpfull: Yes(0) No(1)
• 2/76 is answer
  numerator is repeating from 1 and 2
  while denominator is 72,73,75,76
• 11 years agoHelpfull: Yes(0) No(1)