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. O An improved recursive function that employs dynamic programming to improve the efficiency. aThe closed form of the Fibonacci sequence (be sure to reference the golden ratio)

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all I need help on is question 2 c and d. Please and I will greatly appreciate it if you can help me with this. I really really can use the help to understand this thank you so so much. 

Study the Fibonacci number sequence in the following forms: (1) iterative (sequential), (2) recursive, (3)
and closed form solution.
1) Examine the theoretical measure of time complexity of each.
a) Using theory compare the number of operations and time taken to compute Fibonacci numbers
recursively versus that needed to compute them iteratively.
b) How many prime Fibonacci numbers are there, and how many can you find?
c) Find the smallest Fibonacci number > 1,000,000
d) Find the smallest Fibonacci number > 1,000,000,000
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.
O An improved recursive function that employs dynamic programming to improve the efficiency.
The closed form of the Fibonacci sequence (be sure to reference the golden ratio)
Transcribed Image Text:Study the Fibonacci number sequence in the following forms: (1) iterative (sequential), (2) recursive, (3) and closed form solution. 1) Examine the theoretical measure of time complexity of each. a) Using theory compare the number of operations and time taken to compute Fibonacci numbers recursively versus that needed to compute them iteratively. b) How many prime Fibonacci numbers are there, and how many can you find? c) Find the smallest Fibonacci number > 1,000,000 d) Find the smallest Fibonacci number > 1,000,000,000 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. O An improved recursive function that employs dynamic programming to improve the efficiency. The closed form of the Fibonacci sequence (be sure to reference the golden ratio)
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