5. Let F(n) denote the Fibonacci numbers. Prove the following property for all n ≥ 1 (Hint: Induction) F(1) + F(2) + · · · + F(n) = F(n + 2) − 1 7. The binary search algorithm is used with the following sorted list, with parameter x having the value “Chicago”. Name the elements against which x is compared. Boston, Charlotte, Indianapolis, New Orleans, Philadelphia, San Antonio, Yakima 8. The binary search algorithm is used with the following sorted list, with parameter x having the value “flour”. Name the elements against which x is compared. butter, chocolate, eggs, flour, shortening, sugar

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