Q. 0.23 + 0.02323 + 0.002323.... == ???

• 0.23000000.....
  0.023000000....
  0.0023000000....
  0.00023000000.....
  ----------------
  0.255555555555..........
• 10 years agoHelpfull: Yes(8) No(0)
• take 0.23 = A
  now question is: a+(a/10)+(a/100).......
  a[1+(1/10)+(1/100).....]
  a[1/(1-(1/10))] {infinite A.P= a/(1-r)}
  a*(10/9)
  0.23*10/9
  0.2555
• 9 years agoHelpfull: Yes(6) No(0)
• ___
  0.25 is the answer...
• 9 years agoHelpfull: Yes(1) No(0)
• .000232323 is the ans.
• 11 years agoHelpfull: Yes(0) No(11)
• Take out 0.23 from the sequence then,
  0.23(1+0.1+0.01+0.001+....)
  as its infinite GP [ Sn=a/(1-r)] where a=first term; r=next term/previous term
  thus a=1 and r=0.1
  sum=0.23*1/(1-0.1)=0.2525
• 6 years agoHelpfull: Yes(0) No(0)
• 0.23+0.023=0.253
  0.253+0.002323=0.2553
  0.2553+0.0002323=0.25553
  0.25553+0.00002323=0.255553
  so the answer is 0.2555555555555555
• 4 years agoHelpfull: Yes(0) No(0)