Find the Indicated Nth Term of the Geometric Sequence $a _ { 5 } = \frac { 4 } { 81 } , a _ { 10 } = \frac { 4 } { 19,683 }$

question 11

Multiple Choice

Find the indicated nth term of the geometric sequence. 7th term: $a _ { 5 } = \frac { 4 } { 81 } , a _ { 10 } = \frac { 4 } { 19,683 }$

• A) \(\frac { 4 } { 2187 }\)
• B) \(\frac { 3 } { 4096 }\)
• C) \(\frac { 4 } { 6561 }\)
• D) \(\frac { 4 } { 729 }\)
• E) \(\frac { 4 } { 243 }\)

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Definitions:

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Input-Output Control

A method of managing and regulating the flow of materials and products in a production process, from initial input to final output.

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Finite Capacity Scheduling

A method in production planning that takes into account the limitations of resources (machinery, labor, etc.) to create a more accurate production schedule.