General term of sequence from recurrence relation: x_{n+2}=5x_{n+1}-6x_n, x_1=3, x_2=

[Roger.Robert]

Find the general term of sequence \(\displaystyle (x_{n})_{n\geq 1}\) , defined by the recurrence relation:
a) \(\displaystyle x_{n+2}=5x_{n+1}-6x_{n}, x_{1}= 3 , x_{2} = 7;\)

 

[mmm4444bot]

Where are you stuck?

Are you using the method that involves roots of a characteristic polynomial?