# Math Help - Solve the following linear recurrences.

1. ## Solve the following linear recurrences.

Solve the following linear recurrences.

2. This kind of problem is just routine knowing the correspoonding theory. The solutions of the characteristic equation $\lambda^2-2\lambda -3=0$ are $\lambda=3,\;\lambda=-1$ so, the genearl solution is $x_k=C_13^k+C_2(-1)^k$. Now, use the initial conditions to determine $C_1$ and $C_2$.

Fernando Revilla