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Explicit recurrence solutions, equilibria and population models

Question 1 of 8

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The recurrence holds for every nonnegative integer index. Its multiplier is nonzero. Values are exact

\[u_{k+1}=\left(\frac{3}{2}\right)u_k+\left(5\right),\quad k\ge0\]
\[u_0=6\]
2 marks

Write the two coefficients in \(u_n=L+Cr^n\). The base r is the multiplier already stated; give exact L and C