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If f is a function such that f(0)=2, f(1...

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

A

7

B

13

C

1

D

5

Text Solution

Verified by Experts

The correct Answer is:
B
`x=0 implies f(2)=2f(0)-f(1)=2xx2-3=1`
`x=1 implies f(3)=6-1=5`
` x=2 implies f(4)=2f(2)-f(3)=2xx1-5= -3`
`x=3 implies f(5)=2f(3)-f(4)=2(5)-(-3)=13`
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