Write an Expression for the Nth Term of the Geometric $a _ { 1 } = 4 , r = \frac { 1 } { 6 } , n = 10$

question 339

Multiple Choice

Write an expression for the nth term of the geometric sequence.Then find the indicated term. $a _ { 1 } = 4 , r = \frac { 1 } { 6 } , n = 10$

• A) \(a _ { n } = \left( \frac { 1 } { 2 } \right) ^ { n - 1 }\) , \(\frac { 1 } { 2,519,424 }\)
• B) \(a _ { n } = 4 \left( \frac { 1 } { 6 } \right) ^ { n - 1 }\) , \(\frac { 1 } { 2,519,424 }\)
• C) \(a _ { n } = 4 \left( \frac { 1 } { 6 } \right) ^ { n + 1 }\) , \(\frac { 1 } { 2,519,424 }\)
• D) \(a _ { n } = 6 \left( \frac { 1 } { 2 } \right) ^ { n + 1 }\) , \(\frac { 1 } { 2,519,424 }\)
• E) \(a _ { n } = \left( \frac { 1 } { 4 } \right) ^ { n - 1 }\) , \(\frac { 1 } { 2,519,424 }\)

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Definitions:

Divergent Thinking

A thought process or method used to generate many creative ideas by exploring many possible solutions, often in a spontaneous, free-flowing manner.

Final Topic

The ultimate subject or theme that has been chosen for study or discussion.

Creativity

The ability to produce original, diverse, and valuable ideas or solutions.

Nonconformity

Nonconformity refers to the refusal to align with established norms, rules, or laws within a society or group.