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Q.

If f is a function such that f0=2,f1=3 and fx+2=2fx-fx+1 for every real x, then f(5) is

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a

7

b

13

c

1

d

5

answer is B.

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Detailed Solution

x=0⇒fx=2f0-f1=2×2-3=1           x=1⇒f3=6-1=5           x=2⇒f4=2f2-f3=2×1-5=-3           x=3⇒f5=2f3-f4=25--3=13
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If f is a function such that f0=2,f1=3 and fx+2=2fx-fx+1 for every real x, then f(5) is