For the recurrence an−6an−1+9an−2=0a_n - 6a_{n-1} + 9a_{n-2} = 0an−6an−1+9an−2=0, what is the general solution?
an=c13n+c23na_n = c_1 3^n + c_2 3^nan=c13n+c23n
an=c13n+c2n3na_n = c_1 3^n + c_2 n 3^nan=c13n+c2n3n
an=c13n+c2n23na_n = c_1 3^n + c_2 n^2 3^nan=c13n+c2n23n
an=c19n+c2n9na_n = c_1 9^n + c_2 n 9^nan=c19n+c2n9n