A monotone sequence is a sequence of numbers that is either non-increasing or non-decreasing. This means that each term in the sequence is either greater than or equal to (non-decreasing) or less than or equal to (non-increasing) the previous term. Monotonicity plays a crucial role in understanding the convergence of sequences, particularly in its relationship with Cauchy sequences.
congrats on reading the definition of Monotone Sequence. now let's actually learn it.