Solve these recurrence relations together with the initial conditions given.
- $a_{n} = a_{n-1}+ 6a_{n-2} \:\text{for}\: n \geq 2, a_{0} = 3, a_{1} = 6$
- $a_{n} = 7a_{n-1}− 10a_{n-2} \:\text{for}\: n \geq 2, a_{0} = 2, a_{1} = 1$
- $a_{n} = 6a_{n-1}− 8a_{n-2} \:\text{for}\: n \geq 2, a_{0} = 4, a_{1} = 10$
- $a_{n} = 2a_{n-1}− a_{n-2} \:\text{for}\: n \geq 2, a_{0} = 4, a_{1} = 1$
- $a_{n} = a_{n-2} \:\text{for}\: n \geq 2, a_{0} = 5, a_{1} = −1$
- $a_{n} = −6a_{n-1}− 9a_{n-2} \:\text{for}\: n \geq 2, a_{0} = 3, a_{1} = −3$
- $a_{n+2} = −4a_{n+1} + 5a_{n} \:\text{for}\: n \geq 0, a_{0} = 2, a_{1} = 8$
