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1. Consider the Fibonacci function, F(n) (see Proposition 4.20). Show by induction that F(n) is…

1. Consider the Fibonacci function, F(n) (see Proposition 4.20). Show by induction that F(n) is…

1. Consider the Fibonacci function, F(n) (see Proposition 4.20). Show by induction that F(n) is Ω((3/2)n).2. Let S be a set of n lines in the plane such that no two are parallel and no three meet in the same point. Show, by induction, that the lines in S determine Θ(n2) intersection points.