Problem 1 Modify Problem1.py by adding additional lines of code so that it solves the following problem: Determine whether a given number is even and part of the Fibonacci Sequence. The Fibonacci Sequence is as follows 0, 1, 1, 2, 3, 5, 8, 13.... For more information about Fibonacci sequences Click here The sequence is comprised exclusively of positive integers. Hint 1: A positive number, n, is part of the Fibonacci sequence if either (5n^2 + 4) or (5n^2 - 4) is a perfect square. That is, if the square root of either (5n^2 + 4) or (5n^2 - 4) is a whole number, then n is a perfect square, and thus a

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
Section: Chapter Questions
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Problem 1
Modify Problem 1.py by adding additional lines of code so that it solves the following problem:
Determine whether a given number is even and part of the Fibonacci Sequence. The Fibonacci Sequence is as follows
0, 1, 1, 2, 3, 5, 8, 13... For more information about Fibonacci sequences Click here the sequence is comprised
exclusively of positive integers.
Hint 1: A positive number, n, is part of the Fibonacci sequence if either (5n^2 + 4) or (5n^2 - 4) is a perfect square.
That is, if the square root of either (5n^2 + 4) or (5n^2 - 4) is a whole number, then n is a perfect square, and thus a
Fibonacci number.
Hint 2: Recall that multiple conditions can be checked in one statement. For example,
if (condition 1) and (condition 2) and (condition 3):
# do some action
If a number is even, positive, and part of the Fibonacci sequence, your code should print "Yes". If any one of these
conditions is not met, your code should print "No". If your input is number = 2 or 34 or 144, the output should be
"Yes". If your input if number = 4 or 1 or 5 or -8, the output should be "No". Note that 1 and 5 in this example are
part of the Fibonacci Sequence but they're not even. Additionally, negative numbers, e.g., -8, can not be part of the
Fibonacci Sequence.
You may change the variable "number" to any number you want to check your code against, be sure to change it
back to "100" before submitting.
Transcribed Image Text:Problem 1 Modify Problem 1.py by adding additional lines of code so that it solves the following problem: Determine whether a given number is even and part of the Fibonacci Sequence. The Fibonacci Sequence is as follows 0, 1, 1, 2, 3, 5, 8, 13... For more information about Fibonacci sequences Click here the sequence is comprised exclusively of positive integers. Hint 1: A positive number, n, is part of the Fibonacci sequence if either (5n^2 + 4) or (5n^2 - 4) is a perfect square. That is, if the square root of either (5n^2 + 4) or (5n^2 - 4) is a whole number, then n is a perfect square, and thus a Fibonacci number. Hint 2: Recall that multiple conditions can be checked in one statement. For example, if (condition 1) and (condition 2) and (condition 3): # do some action If a number is even, positive, and part of the Fibonacci sequence, your code should print "Yes". If any one of these conditions is not met, your code should print "No". If your input is number = 2 or 34 or 144, the output should be "Yes". If your input if number = 4 or 1 or 5 or -8, the output should be "No". Note that 1 and 5 in this example are part of the Fibonacci Sequence but they're not even. Additionally, negative numbers, e.g., -8, can not be part of the Fibonacci Sequence. You may change the variable "number" to any number you want to check your code against, be sure to change it back to "100" before submitting.
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