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ANKUR GUPTA Grade: 12
        

If ƒ is a function such that ƒ(0)=2,ƒ(1)=3 and                       ƒ(x+2)=2ƒ(x)-ƒ(x+1) for every real x then ƒ(5) is...........

7 years ago

Answers : (1)

Pratham Ashish
17 Points
										

hi,


 in,   ƒ(x+2)=2ƒ(x)-ƒ(x+1) ...................(1)


put x= 0. we get


   ƒ(2)=2ƒ(0)-ƒ(1)


         =  2 *2  - 3 = 1  


put x =1 ,


   ƒ(3)=2ƒ(1)-ƒ(2)


         =  2* 3 - 1 = 5


put ,  x = 2,


    ƒ(4)=2ƒ(2)-ƒ(3)


           =  2* 1 - 5 = -3 


put, x= 3 


    ƒ(5)=2ƒ(3)-ƒ(4)


          =  2*5 - (-3) = 13 


   ans...ƒ(5)  = 13


   

7 years ago
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