(Solved): Please create a Python Program Determine whether a given number is even and part of the Fibonacci S ...

Please create a Python Program

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 \( \left(5 n^{\wedge} 2+4\right) \) or \( (5 n \wedge 2-4) \) is a perfect square. That is, if the square root of either \( \left(5 n^{\wedge} 2+4\right) \) or \( \left(5 n^{\wedge} 2-4\right) \) 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. Addionally numbers, e.g., \( -8 \), can not be part of the Fibonacci Sequence.