Assume That the Characteristic Equation for a Homogeneous Linear Recurrence $$( r + 2 ) ( r + 4 ) ^ { 2 } = 0 \text {. Describe the form for the general solution to the recurrence relation. }$$

Assume that the characteristic equation for a homogeneous linear recurrence relation with constant coefficients
is $$( r + 2 ) ( r + 4 ) ^ { 2 } = 0 \text {. Describe the form for the general solution to the recurrence relation. }$$