Real Sequence/Examples/(-1)^n 2^(-n)
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Examples of Real Sequence
The real sequence whose first few terms are:
- $1, -\dfrac 1 2, \dfrac 1 4, -\dfrac 1 8, \dotsc$
can be defined by the formula:
- $S = \sequence {\paren {-1}^n \dfrac 1 {2^n} }_{n \mathop \ge 0}$
Sources
- 1975: W.A. Sutherland: Introduction to Metric and Topological Spaces ... (previous) ... (next): $1$: Review of some real analysis: $\S 1.2$: Real Sequences: Example $1.2.1 \, \text {(b)}$