Find the General Term, An, of the Given Geometric Sequence $$\frac { 1 } { 8 } , \frac { 1 } { 64 } , \frac { 1 } { 512 } , \ldots$$

question 48

Multiple Choice

Find the general term, an, of the given geometric sequence.
- $$\frac { 1 } { 8 } , \frac { 1 } { 64 } , \frac { 1 } { 512 } , \ldots$$

• A) \(a _ { n } = \frac { 1 } { 8 ^ { n - 1 } + 7 }\)
• B) \(a _ { n } = \frac { 1 } { 8 ^ { n } }\)
• C) \(\mathrm { a } _ { \mathrm { n } } = 8 ^ { \mathrm { n } - 1 }\)
• D) \(a _ { n } = \frac { 1 } { 8 + 56 ( n - 1 ) }\)

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Definitions:

Unwanted Conditioned Response

A learned response that is undesirable or negative, which occurs after conditioning to an initially neutral stimulus.

Systematic Desensitization

A behavioral therapy technique used to reduce phobic responses and anxiety through gradual exposure to the feared object or situation combined with relaxation exercises.

Counterconditioning

A behavior therapy technique where a positive response is conditioned to replace a negative or undesirable response to a stimulus.

Adult Phobias

Intense, irrational fears experienced by adults, often rooted in past experiences or triggered by specific objects or situations.