% Depicts the growth of Fibonnaci numbers at each level. Fibonnaci numbers
% grow at an exponential rate equal to the golden ratio.
n = 30;
a = 0;
b = 1;
x = zeros(1,n);
y = zeros(1,n);
for i =1:n
    x(i) = i;
    y(i) = a+b;
    a = b;
    b = y(i);
end
plot(x,y,'-o')