This was a question on our test, I know it can be easily solved by Z-transforms but there are no initial conditions specified. In this case, what would be the right approach?

Assume all initial conditions are zero?

Assume $y$ is right-sided, so substitute $k=0$ and $k=-1$ to find $y[2]$, $y[1]$ and $y[0]$?

> 
> A system is described by the difference equation
> $$y[k+2]+1.2y[k+1]+0.32y[k]=(-0.5)^{k+1}$$
> Find the value of $y[10]$.
> 
> 
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