Find a General Term an for the Geometric Sequence $\frac { 1 } { 6 } , 1,6 , \ldots$

question 281

Multiple Choice

Find a general term an for the geometric sequence.
- $\frac { 1 } { 6 } , 1,6 , \ldots$

• A) \(a _ { n } = \frac { 1 } { 6 } ( 6 ) ^ { n - 1 }\)
• B) \(a _ { n } = \left( \frac { 1 } { 6 } \right) ^ { n - 1 } + \frac { 5 } { 6 }\)
• C) \(a _ { n } = \frac { 1 } { 6 } + \frac { 5 } { 6 } ( n - 1 )\)
• D) \(a _ { n } = \frac { 1 } { 6 } + 6 ( n - 1 )\)

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Definitions:

Height

A measurement from base to top or head to toe in an upright position; in computing, often refers to the vertical dimension of elements.

Class Container

A data structure or type that encapsulates multiple elements and provides functionalities for manipulating them, emphasizing the role of organizing and containing data.

Java.awt

Stands for Abstract Window Toolkit, a Java package that provides a set of APIs for creating graphical user interfaces and window-based applications.

Package

A namespace that organizes a set of related classes and interfaces in Java.