Find the values for the following problem:
f(X)= 2X-1 + f(X-1) if X is not equal to zero and if f(X=0)=0

Value of f(5)
a)15 b)24 c)22 d)None

• Ans. d
  f[5]=9+f[4]
  f[4]=7+f[3]
  f[3]=5+f[2]
  f[2]=3+f[1]
  f[1]=1+f[0]
  f[0]=0
  Sum of entire values yields 25.
• 10 years agoHelpfull: Yes(17) No(0)
• ans e)none
  
  given
  f(x=0)=0
  f(x)=2x-1+f(x-1)
  
  f(5) we have to calculate
  
  f(1)=(2*1)-1+f(1-1)
  =2-1=1
  f(2)=(2*2)-1+f(2-1)
  =3+1=4
  
  it is like
  1^2=1
  2^2=4
  similarly
  f(3)=9
  f(4)=16)
  f(5)=25.
• 10 years agoHelpfull: Yes(3) No(0)
• F(0)=-1+f(-1)
  f(1)=2-1+f(0)=1+0=1
  f(2)=4-1+F(1)=3+1=4
  We can observe that ans is the square of the value of x
  hence,f(5)=25
• 10 years agoHelpfull: Yes(0) No(0)
• f(1)=2-1+0(because it is given that f(0)=0
  so f(1)=1,
  f(2)=4-1+1=4,
  f(3)=6-1+4=9,
  f(4)=8-1+9=16,
  f(5)=10-1+16=25 so option d is correct
• 10 years agoHelpfull: Yes(0) No(0)
• answer is 25...
  so the option is d)none
• 10 years agoHelpfull: Yes(0) No(0)