The Fibonacci sequence is the series of integers

See the pattern? Each element in the series is the sum of the preceding two items. There is a recursive formula for calculating the nth number of the sequence [the 0th number if Fib(0) = 0]:

1. Write a recursive version of the function Fibonacci. 2. Write a nonrecursive version of the function Fibonacci. 3. Write a driver to test the recursive and iterative versions of the function Fibonacci. 4. Compare the recursive and iterative versions for efficiency. (Use words, not Big-O notation.) 5. Can you think of a way to make the recursive version more efficient?

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0, 1, 1, 2, 3, 5, 8, 21, 34, 55, 89 ..