Find the Interval of Convergence of the Series $$\sum _ { n = 0 } ^ { \infty } ( x - 7 ) ^ { n }$$

question 365

Multiple Choice

Find the interval of convergence of the series.
- $$\sum _ { n = 0 } ^ { \infty } ( x - 7 ) ^ { n }$$

• A) \(6 < x < 8\)
• B) \(6 \leq x < 8\)
• C) \(x < 8\)
• D) \(- 8 < x < 8\)

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Definitions:

Acquisition

Acquisition in the context of psychology refers to the initial stage of learning when a response is first established or a new skill is begun to be acquired.

Classical Conditioning

Learning through the relationship between a naturally present stimulus and one that comes from the environment.

Extinction

In the context of psychology, it refers to the gradual diminishing of a conditioned response when the reinforcement or the association with a stimulus is removed.

Operant Conditioning

An educational method where the intensity of an action is altered by either encouraging or penalizing it.