Decreasing Sequence

Decreasing Sequence

Sequence in which ∀n ∈ $$\mathbb{R}$$ : x$$_{n}$$ ≥ x$$_{n+1}$$.

Examples

• The sequence {2$$^{–n}$$} is a strictly decreasing sequence: 1, $$\frac{1}{2}$$, $$\frac{1}{4}$$, $$\frac{1}{8}$$, $$\frac{1}{16}$$, …
• The sequence {$$\frac{1}{3^{n}}$$} is a strictly decreasing sequence: 1, $$\frac{1}{3}$$, $$\frac{1}{9}$$, $$\frac{1}{27}$$, $$\frac{1}{81}$$, …