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October 22, 2014

October 22, 2014

Posted by **George** on Friday, July 8, 2011 at 8:19pm.

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

I think I'm doing something wrong... Here's my attempt at a solution

a=input('Please enter the first two numbers of the Fibonacci sequence in "[# #]" form. Do not enter [0 1] or [1 1]. Your free to enter anything else though.');

x=[a ones(1,100000)];

z=3;

while abs(x(z)/x(z-1)-x(z-1)/x(z-2))>0.001

x(z)=x(z-2)+x(z-1);

z=z+1;

end

g=x(find(x>1));

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