The Fibonacci numbers are the sequence of numbers F₁, F2, F3, ... where: • F₁ = F₂ = 1 ● F=F-1 + Fn-2 The Fibonacci numbers for n = 1, 2, ..., 8 are 1, 1, 2, 3, 5, 8, 13, 21. Use the function design recipe to develop a function named fib. The function header (with missing type annotations) is: fib(n). Parameter n is a positive integer. The function returns the n'th Fibonacci number. For example, fib (1) returns 1 and fib(6) returns 8. Your function must have exactly one loop. Your solution must Your function definition must have type annotations and a complete docstring. Use the Python shell to test fib.

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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Please complete the exercise as instructed and do not use global variables. Thank you!

The Fibonacci numbers are the sequence of numbers F₁, F2, F3, ... where:
• F₁ = F₂ = 1
• F=F1+Fn-2
The Fibonacci numbers for n = 1, 2, . 8 are 1, 1, 2, 3, 5, 8, 13, 21.
...
Use the function design recipe to develop a function named fib. The function header (with
missing type annotations) is: fib(n). Parameter n is a positive integer.
The function returns the n'th Fibonacci number. For example, fib(1) returns 1 and fib (6)
returns 8.
Your function must have exactly one loop.
Your solution must Your function definition must have type annotations and a complete
docstring. Use the Python shell to test fib.
Transcribed Image Text:The Fibonacci numbers are the sequence of numbers F₁, F2, F3, ... where: • F₁ = F₂ = 1 • F=F1+Fn-2 The Fibonacci numbers for n = 1, 2, . 8 are 1, 1, 2, 3, 5, 8, 13, 21. ... Use the function design recipe to develop a function named fib. The function header (with missing type annotations) is: fib(n). Parameter n is a positive integer. The function returns the n'th Fibonacci number. For example, fib(1) returns 1 and fib (6) returns 8. Your function must have exactly one loop. Your solution must Your function definition must have type annotations and a complete docstring. Use the Python shell to test fib.
Expert Solution
Step 1

Fibonacci numbers:

            Pingala initially made the Fibonacci numbers famous in Indian mathematics when he listed potential Sanskrit poetry patterns using syllables of two lengths. Leonardo of Pisa, an Italian mathematician who later went by the name Fibonacci, is credited with introducing the Fibonacci sequence to Western European mathematics.

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