If f(f(n)) + f(n) = 2n+3, f(0) = 1 then f(2012) = ?

• for n=0; f(f(0))+f(0)=2(0)+3
  f(1)+ 1= 3
  f(1)=2
  for n=1; f(f(1))+f(1)= 2+3
  f(2)=3
  similarly n=3, f(3)=4
  so for every n= n+1
  f(2012)=(n+1)=(2012+1)=2013
  Ans: 2013
• 10 years agoHelpfull: Yes(1) No(0)
• f(f(0))+f(0)=2*0+3
  F(1)+1=3
  f(1)=2
  similarly,
  f(2)=3
  f(3)=4
  .
  .
  .
  .
  so, f(2012)=2013
• 10 years agoHelpfull: Yes(0) No(0)
• In the given function expression put n=0
  then
  f(f(0))+f(0)=3
  =>f(1)+1=3
  =>f(1)=2
  if we follow the function value like f(0)=1 f(1)=2....
  in the similar way we can say that f(2012)=2013
• 10 years agoHelpfull: Yes(0) No(0)