Multiplying the terms of a sequence by something like (-1)^n causes them to alternate signs. When determining whether or not these alternating sequences converge, we will first take the absolute value in accordance with the Absolute Value Theorem. Duration: 4:57

Occasionally, a problem will present a sequence as an ordered list of numbers rather than as an explicitly stated function. To determine whether or not the sequence convergences, you will first need to use some pattern recognition to derive a formula before taking the limit. Duration: 9:16

After reviewing a small collection of commonly used patterns, we'll turn our attention to a special type of sequence: Geometric. Don't worry, there are no two-column proofs associated with these sequences. Duration: 10:20

A common requirement for our future convergence tests involves demonstrating that a sequence is decreasing. With that goal in mind, let's formally define increasing and decreasing sequences before proving that a given sequence is in fact decreasing. Duration: 14:16