How To Calculate Fibonacci Extensions in Fortran?

@kenny 

To calculate Fibonacci extensions in Fortran, you can create a subroutine that takes the initial Fibonacci sequence as input and calculates the extensions based on the Fibonacci formula.

Here is a sample code in Fortran for calculating Fibonacci extensions:

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program fibonacci_extensions
    implicit none
    integer :: n, i
    real :: fibonacci(10), extension(10)
    
    ! Input initial Fibonacci sequence
    fibonacci(1) = 0
    fibonacci(2) = 1
    
    print *, "Enter the number of Fibonacci extensions to calculate:"
    read *, n
    
    ! Calculate Fibonacci extensions
    do i = 3, n+2
        fibonacci(i) = fibonacci(i-1) + fibonacci(i-2)
        extension(i-2) = fibonacci(i) * 1.618
    end do
    
    ! Output Fibonacci extensions
    do i = 1, n
        print *, "Fibonacci extension ", i, ": ", extension(i)
    end do
    
end program fibonacci_extensions

In this code, we first input the initial Fibonacci sequence and the number of extensions to calculate. We then use a loop to calculate the Fibonacci extensions using the Fibonacci formula (each extension is calculated as the next Fibonacci number multiplied by the golden ratio 1.618). Finally, we output the Fibonacci extensions.

You can customize this code based on your specific requirements and adjust the number of extensions to calculate as needed.