applicability: $\mathbb {N, Z, Q, R}$

Definition: Real Sequence 

A real sequence \((a_n)_{n\in\mathbb N}\) is a sequence of real numbers \(a_n\in\mathbb R\).

Examples

• $(2^n)_{n\in\mathbb N}=(1,2,4,8,\ldots)$
• $(\sqrt{n})_{n\in\mathbb N}=(0,1,\sqrt{2},\sqrt{3},\ldots)$
• $(3)_{n\in\mathbb N}=(3,3,3,3,\ldots)$
• $(\frac{n}{n+1})_{n\in\mathbb N}=(0,\frac{1}{2},\frac{2}{3},\frac{3}{4},\ldots)$
• recursively defined sequences.

| | | | | created: 2014-09-14 14:54:21 | modified: 2020-07-12 10:24:24 | by: bookofproofs | references: [581], [582]