while loop homework problem

Mon, 16 Nov 2009 14:22:33 -0700

"One interesting property of a Fibonacci sequence is that the ratio of the values of adjacent members of the sequence approach a number called “the golden ratio” or PHI. Create a program that accepts the first two numbers of a Fibonacci sequence as a user input and then calculates additional values in the sequence until the ratio of adjacent values converges to within 0.001. You can do this in a WHILE loop by comparing the ratio of element k to element k-1 and the ratio of element k-1 to element k-2. If you call your sequence x, then the code for the WHILE statement is

while abs(x(k)/x(k-1) – x(k-1)/x(k-2))>0.001"

the first part of the code is:
x(1)=input('Enter the first starting value for your Fibonacci: ')
x(2)=input('Enter the second starting value for your Fibonacci: ')

^^^but idk how to complete the rest with the WHILE loop

i need to calculate how many terms [k] are needed to get an error within 0.001 units but im clueless...thanx in advance for any help guys

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while loop homework problem