Find the Nth Term of the Geometric Sequence $2,1 , \frac { 1 } { 2 } , \frac { 1 } { 4 } , \frac { 1 } { 8 }$

question 13

Multiple Choice

Find the nth term of the geometric sequence.
- $2,1 , \frac { 1 } { 2 } , \frac { 1 } { 4 } , \frac { 1 } { 8 }$

• A) \(a _ { n } = 2 \cdot \left( \frac { 1 } { 2 } \right) ^ { n + 1 }\)
• B) \(a _ { n } = 2 \cdot \left( \frac { 1 } { 4 } \right) ^ { n - 1 }\)
• C) \(a _ { n } = 2 \cdot \left( \frac { 1 } { 2 } \right) ^ { n - 1 }\)
• D) \(a _ { n } = 2 \cdot \left( \frac { 1 } { 2 } \right) ^ { n }\)

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Definitions:

Event A

A specified occurrence or result in a probabilistic framework that is subject to study or analysis.

Event B

A term used in probability theory to denote a specific outcome or set of outcomes from a stochastic experiment.

0 ≤ P ≤ 1

A mathematical expression indicating that the value of P (probability) ranges from 0 to 1, inclusive.

Outcome

An outcome is the result or consequence of an action, experiment, or event, often used in the context of probabilities and statistical experiments.