Determine the Sum of the Following Geometric Series: 1 - $\frac { 1 } { 2 ^ { 3 } }$

question 30

Short Answer

Determine the sum of the following geometric series: 1 - $\frac { 1 } { 2 ^ { 3 } }$ + $\frac { 1 } { 2 ^ { 6 } }$ - $\frac { 1 } { 2 ^ { 9 } }$ + $\frac { 1 } { 2 ^ { 12 } }$ - ... .
Enter just a reduced fraction of form $\frac { a } { b }$ .

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Definitions:

Identity Vs. Confusion

A stage of development proposed by Erikson, focusing on adolescents' search for personal identity and the sense of self that emerges from this exploration.

Discontinuous

Characterized by interruptions or gaps; not seamless or smooth, often referring to non-linear processes or developments.

Continuous

Uninterrupted in time, sequence, substance, or extent; something that goes on without stopping.

Unidirectional

Moving or operating in a single direction.