Given $4$ numbers, the first $3$ numbers are in $AP$ and the last $3$ numbers are in $GP$. The $1^{st}$ and $3^{rd}$ terms add upto $2$ and the $2^{nd}$ and $4^{th}$ terms add to $17$. Find the numbers.

Question

$\begin{array}{1 1} -2,1,4,16 \\ -3,1,5,25 \\ -1,2,5,25 \\ 1,2,3,9 \end{array}$