MATLAB : FIBONIC SERIES , Generating the first Ten Fibonacci numbers according to the relation Fn = Fn-1 + Fn-2 with F0 = F1 = 1, and Computing the ratio Fn / Fn-1 for the first 50 Fibonacci numbers
>> f(1)=1;
>> f(2)=1;
>> for k=3:10
f(k)=f(k-1)+f(k-2);
end
>> disp(f)
1 1 2 3 5 8 13 21 34 55
>> r=f(2:10)./f(1:9)
r =
1.0000 2.0000 1.5000 1.6667 1.6000 1.6250 1.6154 1.6190 1.6176