Determine Which One of the P-Series Below Is Convergent $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 7 } }$

question 69

Multiple Choice

Determine which one of the p-series below is convergent.

• A) \(\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 7 } }\)
• B) \(\sum _ { n = 1 } ^ { \infty } n ^ { - 06 }\)
• C) \(\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 08 } }\)
• D) \(\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 3 / 4 } }\)

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Definitions:

Novelty Avoidance

The behavioral trait of preferring familiar objects and environments over new ones.

Habituation

The psychological process where an individual becomes accustomed to a stimulus after repeated exposure.

Visual-recognition Memory

The ability to recognize previously encountered visual stimuli and differentiate them from new stimuli.

Visual Preference

An individual's leaning or affinity towards certain visual elements over others, which can influence perception and choices.