Fibonacci sequence

mathematics

Description

The Fibonacci sequence is the series of integers 0, 1, 1, 2, 3, 5, 8, 21, 34, 55, 89 ... See the pattern? Each element in the series is the sum of the preceding two items. There is a recursive formula for calculating the n th number of the sequence (the 0th number if Fib(0) = 0): a. Write a recursive version of the function Fibonacci b. Write a nonrecursive version of the function Fibonacci c. Write a driver to test the recursive and iterative versions of the function Fibonacci d. Compare the recursive and iterative versions for efficiency. (Use words, not Big-O notation.) e. Can you think of a way to make the recursive version more efficient?

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