Solve the difference equation y(adsbygoogle = window.adsbygoogle || []).push({}); _{n+1}=-0.9y_{n}in terms of the initial value y_{0}.

y_{1}=-0.9y_{0}

y_{2}=-0.9y_{1}=(-0.9)^{2}y_{0}

y_{n}=(-0.9)^{n}y_{0}

Is this the answer? Because the answer in the textbook says y_{n}=(-1)^{n}(0.9)^{n}y_{0}. Please help.

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# Solve the difference equation?

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