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If f is a function such that f(0)= 2 and f(1)= 3 and f(x+2)=f(x)-f(x+1) for every real x then f(5) equal to ?
hi ur question is quite simple, u just hav 2 use the given conditions till u get f(5) f(x+2) = f(x) - f(x+1) putting x=0, f(2) = f(0) - f(1)...................[x=0] = 2 - 3 = -1 f(3) = f(1) - f(2)....................[x=1] = 3 - (-1) = 4 f(4) = f(2) - f(3) ....................[x=2] = -1 - 4 = -5 f(5) = f(3) - f(4)....................[x=3] = 4- (-5) = 9
hi
ur question is quite simple, u just hav 2 use the given conditions till u get f(5)
f(x+2) = f(x) - f(x+1)
putting x=0,
f(2) = f(0) - f(1)...................[x=0]
= 2 - 3 = -1
f(3) = f(1) - f(2)....................[x=1]
= 3 - (-1) = 4
f(4) = f(2) - f(3) ....................[x=2]
= -1 - 4 = -5
f(5) = f(3) - f(4)....................[x=3]
= 4- (-5) = 9
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