A homogeneous linear recurrence relation is a sequence defined by a linear combination of its previous terms with no additional constant or non-homogeneous part. This means that each term in the sequence is generated by multiplying previous terms by constant coefficients and summing them up, resulting in a structure where the solution can be expressed in terms of characteristic equations. The relationship between the current term and its predecessors helps establish patterns within sequences, revealing properties such as convergence and growth.
congrats on reading the definition of homogeneous linear recurrence relation. now let's actually learn it.