What Form Does a Particular Solution of the Linear Nonhomogeneous $a _ { n } = 4 a _ { n - 1 } - 4 a _ { n - 2 }$

question 94

Short Answer

What form does a particular solution of the linear nonhomogeneous recurrence relation $a _ { n } = 4 a _ { n - 1 } - 4 a _ { n - 2 }$ + $F ( n )$ have when $F ( n ) = 2 ^ { n }$ ?

---

Definitions:

Rejected

Being dismissed or turned down, often in the context of social relationships or applications.

Companionate Love

A deep, affectionate attachment characterized by feelings of mutual respect, trust, and concern, as opposed to passionate love.

Passionate Love

An intense emotional state characterized by romantic attraction, sexual desire, and a deep connection with another person.

Obsessed

A state of being excessively and compulsively focused on a particular object, activity, or person, often to an unhealthy degree.