Use a computational program or programs you have written to do the following exercises.
Given any non-negative integer n,
a.Find the nth Fibonacci number using iteration.
b.Find the nth Fibonacci number using recursion.
c.Compare the number of operations and the CPU time needed to compute Fibonacci numbers recursively vs. that needed to compute them iteratively.
Maybe these pseudocodes been helpful;
A Recursive Algorithm for Fibonacci Numbers.
Procedure fubonacci(n: nonnegative integer)
If n = 0 then Fibonacci(0) := 1
else if n = 1 then fiponacci(1) :=1
else fibonacci(n) := Fibonacci (n - 1) + fibnacci(n - 2)
An Iterative Algorithm for computing Fibonacci Numbers.
Procedure iterative Fibonacci (n : nonnegative integer )
If n=0 then y:=0
x := 0
y := 1
For i := 1 to n - 1
z := x + y
x := y
y := z
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Please see the attached fibonacci.zip
It contains the complete VC++ project folder along with the source code and executable file.
This is just one way of doing it. Ofcourse as a student you need to develop your own way of completing this. In anticipation of a ...
In this solution you will learn how to find Fibonacci numbers through
a) Recursion and