In c++ The Fibonacci numbers are a series of numbers that exhibit the following pattern:   0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, …   The series starts with 0 and 1, and each subsequent number in the series is the sum of the previous two numbers. The Fibonacci sequence, Fn, is defined by the following recurrence relation:   Fn = Fn-1 + Fn-2   Where the initial values are F0 = 0 and F1 = 1. Write a program that prompts the user to enter in a positive integer N and generates the Nth Fibonacci number. Your main function should handle user input and pass that data to a function called Fib that takes integer N as input and returns the Nth Fibonacci number. Include the functions preconditions and postconditions as comments in your source code. Include some basic input validation to make sure the function’s preconditions are met before the function is called. Show your source code and a sample of your program output.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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In c++

The Fibonacci numbers are a series of numbers that exhibit the following pattern:

 

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, …

 

The series starts with 0 and 1, and each subsequent number in the series is the sum of the previous two numbers. The Fibonacci sequence, Fn, is defined by the following recurrence relation:

 

Fn = Fn-1 + Fn-2

 

Where the initial values are F0 = 0 and F1 = 1. Write a program that prompts the user to enter in a positive integer N and generates the Nth Fibonacci number. Your main function should handle user input and pass that data to a function called Fib that takes integer N as input and returns the Nth Fibonacci number. Include the functions preconditions and postconditions as comments in your source code. Include some basic input validation to make sure the function’s preconditions are met before the function is called. Show your source code and a sample of your program output.

Expert Solution
Step 1

The algorithm of the code:-

Step 1: Start
Step 2: Declare an integer a = 0, b = 1, c, and i.
Step 3: Check if N is less than or equal to 0, if yes return 0.
Step 4: Set the loop, for i = 2 to N do the following steps.
Step 5: Calculate the value of c = a + b.
Step 6: Set a = b.
Step 7: Set b = c.
Step 8: End loop.
Step 9: Return the value of b.
Step 10: Stop

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