6.6.60 Combinatorics

Condition: Find the decision of the ratio under the specified initial conditions: \ [\ begin {array} {l} x_ {0} = 2, \ quad X_ {1} = 4, \ quad X_ {n} = 7 x_ {n-1} -12 x_ {n-2}, \\ n \ geq 2 \ end {Array} \]