The Fibanocci sequence is defined by $1=a_1=a_2\:\:and\:\:a_n=a_{n-1}+a_{n-2}\:\:for\:n>2$ Find $\large\frac{a_{n+1}}{a_n}$, for $n=1,2,3,4,5$

Question

$\begin{array}{1 1}1, 2, 3/2, 5/3, 9/5 \\1, 2, 3/2, 4/3, 8/5 \\1, 2, 5/2, 5/3, 8/5 \\ 1, 2, 3/2, 5/3, 8/5 \end{array} $