Linear Recurrence Sequences

This lecture covers the concept of linear recurrence sequences, where a sequence is defined by a linear formula involving the previous terms. The instructor explains the theorem and the process of defining such sequences, emphasizing the role of initial conditions. The lecture delves into examples and properties of these sequences, discussing convergence and divergence criteria. The instructor demonstrates the convergence of sequences towards a limit and the conditions for divergence. Additionally, the lecture explores the concept of Cauchy sequences and their relevance in analyzing the behavior of linear recurrence sequences.