Complete the recursive formula of the geometric sequence 0.2,-1,5,-25

[tex]\bf 0.\underline{2}\implies \cfrac{02}{1\underline{0}}\implies \cfrac{1}{5} \\\\[-0.35em] ~\dotfill\\\\ 0.2,-1,5,-25\qquad \implies \qquad \cfrac{1}{5}~~,~~\stackrel{\frac{1}{5}(-5)}{-1}~~,~~\stackrel{-1(-5)}{5}~~,~~\stackrel{5(-5)}{-25}..... \\\\[-0.35em] ~\dotfill\\\\ a_1=0.2\implies \cfrac{1}{5}~\hspace{10em} a(n)=a(n-1)(-5)[/tex]