2) Implement each Fibonacci form (1, 2, and 3 see above) in the C++ language (C++ 17). Write four functions: a) An iterative function that accepts a non-negative integern and returns the nth Fibonacci number. b) A recursive function that inputs a non-negative integer n and returns the nth Fibonacci number. c) An improved recursive function that employs dynamic programming to improve the efficiency. d) The closed form of the Fibonacci sequence (be sure to reference the golden ratio)

C++ Programming: From Problem Analysis to Program Design
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ISBN:9781337102087
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Chapter15: Recursion
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2) Implement each Fibonacci form (1, 2, and 3 see above) in the C++ language (C++ 17).
Write four functions:
a) An iterative function that accepts a non-negative integer n and returns the nth Fibonacci number.
b) A recursive function that inputs a non-negative integer n and returns the nth Fibonacci number.
c) An improved recursive function that employs dynamic programming to improve the efficiency.
d) The closed form of the Fibonacci sequence (be sure to reference the golden ratio)
Transcribed Image Text:2) Implement each Fibonacci form (1, 2, and 3 see above) in the C++ language (C++ 17). Write four functions: a) An iterative function that accepts a non-negative integer n and returns the nth Fibonacci number. b) A recursive function that inputs a non-negative integer n and returns the nth Fibonacci number. c) An improved recursive function that employs dynamic programming to improve the efficiency. d) The closed form of the Fibonacci sequence (be sure to reference the golden ratio)
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