Sequences: Definitions and Examples

This lecture covers solving equations over the complex numbers, sequences definitions and examples, induction, and Bernoulli's inequality. It explains the properties of complex numbers, including polar form representation. The lecture also delves into multiplication in polar form and Euler's formula. Furthermore, it discusses equations over complex numbers, the fundamental theorem of algebra, and tips for solving polynomial equations. The lecture concludes with a detailed explanation of sequences, including arithmetic and geometric progressions, monotonicity, and the concept of bounded sequences.