\( y[n+2] +ay[n+1]+by[n]= 0 \ \ for\ n>=0 \)

where \( a=\frac{-5}{6} and b={1}{6} \)

this is what i solved for initial conditions;

\( for n=-2 \ \ \Rightarrow \ \ y[0]=0 \)

\( for n=-1 \ \ \Rightarrow \ \ y[1]=0 \)

Are these correct initial conditions?