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, \(\frac{1}{3}\), \(\frac{1}{9}\), \(\frac{1}{27}\), \(\frac{1}{81}\), …

Try Buzzmath activities for free

and see how the platform can help you.