Write a Formula for the General Term (The Nth Term) $$\frac { 1 } { 8 } , - \frac { 1 } { 40 } , \frac { 1 } { 200 } , - \frac { 1 } { 1000 } , \ldots$$

question 17

Multiple Choice

Write a formula for the general term (the nth term) of the geometric sequence.
- $$\frac { 1 } { 8 } , - \frac { 1 } { 40 } , \frac { 1 } { 200 } , - \frac { 1 } { 1000 } , \ldots$$

• A) \(a _ { n } = \frac { 1 } { 8 } - \frac { 1 } { 5 } ( n - 1 )\)
• B) \(a _ { n } = \frac { 1 } { 5 } \left( - \frac { 1 } { 8 } \right) ^ { n - 1 }\)
• C) \(a _ { n } = \frac { 1 } { 8 } \left( - \frac { 1 } { 5 } \right) ^ { n - 1 }\)
• D) \(a _ { n } = \left( \frac { 1 } { 8 } \right) ^ { n - 1 } - \frac { 3 } { 20 }\)

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Definitions:

Eighteenth Century

The period from January 1, 1701, through December 31, 1800, marked by significant world events like the Enlightenment, the American Revolutionary War, and the beginning of the Industrial Revolution.

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The concept and historical pursuit of civil liberties and democratic principles in British governance and society.

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Refers to the various aspects of civil liberties and democratic principles that have developed and evolved within Britain over centuries.

Protestantism

A form of Christian faith and practice that originated with the Reformation, a movement against what its followers considered to be errors in the Roman Catholic Church.