Fibonacci sequence is given by the recursive relation: F(0) = 1 and F(1) = 1 F(n) = F(n-1) + F(n-2) Ultimately, as discussed in lecture 6, Slide 23, it can be shown that: F(n) =1/√5 ((1+√5)/2)n - 1/√5((1-√5)/2)n The number (1+√5)/2 = 1.618 is called the Golden Ratio Clearly F(n) = O(2n). Write a recursive program like the one described in Lecture 5, Slide 32. Then, perform a numeric asymtotic analysis and try to determine a more precise asymptotic estimate of time needed to calculate F(n) (e.g., use a time function). Esentially, try to estimate/infer the tight bound, (f(n)). More details on Big O and in Lecture 5b. Upload both the program (upload your exact cpp, java, py file - source files) and a pdf file analyzing the output of your program.

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A:

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Computational Systems

The computation systems can be defined as the systems that are capable of solving a problem that includes calculations either mathematical or logical, and are able to produce the result as an output. For example, a simple calculator that is given a set of numbers and operators as input and produces the result as an output can be defined as a computational system. The above example is a simple illustration only, the computational systems range from simple devices to complex devices such as the systems that control the SpaceX companies, Starlink satellites which are being quite recently seen in the skies at many places globally.