Question

Find u_{n}, v_{n}, t_{n} in terms of n for the following system:
\[u _{n+1} = -u_{n} + 2v_{n} + t_{n}\]
\[v_{n+1} = v_{n} - t_{n}\]
\[t_{n+1} = 2t_{n}\]

For u_{0}, v_{0}, t_{0} given.