Determine Whether the Geometric Series Converges or Diverges $$- \frac { 1 } { 5 } + \frac { 1 } { 25 } - \frac { 1 } { 125 } + \frac { 1 } { 625 } - \cdots$$

question 144

Short Answer

Determine whether the geometric series converges or diverges. If it converges, find its sum.
$$- \frac { 1 } { 5 } + \frac { 1 } { 25 } - \frac { 1 } { 125 } + \frac { 1 } { 625 } - \cdots$$

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Definitions:

ADHD

Attention-Deficit/Hyperactivity Disorder, a neurodevelopmental disorder characterized by a pattern of inattention, hyperactivity-impulsivity, or both that interferes with functioning or development.

Stimulant

Substances that increase alertness, attention, and energy by accelerating the function of the central nervous system.

Self-Serving Bias

The common human tendency to attribute success to personal factors and failures to external factors for oneself.

Success Responsibility

The notion that individuals are accountable for their achievements and should take credit for their successes.