Defining Convergent and Divergent Infinite Series

This study guide introduces sequences and series, covering terminology like nth partial sum and infinite series. It explains how to find terms and limits of sequences, classifying them as convergent or divergent. The guide also defines increasing, decreasing, monotonic, and bounded sequences, and presents a theorem connecting monotonicity and boundedness to convergence. Finally, it discusses series convergence and divergence, partial sums, telescoping series, and properties of convergent series, with practice problems on finding partial sums.