?Find the Indicated Nth Term of the Geometric Sequence $$a _ { 4 } = - \frac { 4 } { 27 } , a _ { 10 } = - \frac { 4 } { 19,683 }$$

question 3

Multiple Choice

?Find the indicated nth term of the geometric sequence. ?
7th term: $$a _ { 4 } = - \frac { 4 } { 27 } , a _ { 10 } = - \frac { 4 } { 19,683 }$$ ?

• A)? \[\frac { 4 } { 6,561 }\]
• B)? \[- \frac { 4 } { 243 }\]
• C)? \(- \frac { 3 } { 4,096 }\)
• D)? \(\frac { 4 } { 729 }\)
• E)? \(- \frac { 4 } { 2,187 }\)

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Definitions:

Grain

Small, hard, dry seeds, with or without attached hulls or fruit layers, harvested for human or animal consumption, and used across various industries.

Rats

Medium-sized, long-tailed rodents, often considered pests in various human societies due to their ability to transmit diseases.

Bushels

A measure of volume used primarily for agricultural produce, equivalent to approximately 8 gallons in the U.S. system.

Harvest

The process or period of gathering in crops, typically marking the end of a growing season.