Decreasing sequence

A sequence \(u_1\), \(u_2\), … is called decreasing if \(u_n \ge u_{n+1}\) for all \(n\ge 1\) (so \(u_1\ge u_2\ge u_3\ge \cdots\)).

It is called strictly decreasing if \(u_n > u_{n+1}\) for all \(n\ge 1\).

See also increasing sequence.