Sequences and Series: Defined and Convergent

This lecture covers the definition of sequences defined by linear recurrence, the concept of subsequences, the Bolzano-Weierstrass theorem, and the limits inferior and superior. It also delves into the topic of series, exploring the notion of sequences defined by linear induction. The lecture progresses to discuss Cauchy sequences, convergence, and the relationship between Cauchy sequences and convergent sequences.