Determine If the Geometric Series Converges or Diverges A) Converges $\frac { 1 } { 5 }$

question 122

Multiple Choice

Determine if the geometric series converges or diverges. If it converges, find its sum.
- $\frac { 1 } { 6 } + \left( \frac { 1 } { 6 } \right) ^ { 2 } + \left( \frac { 1 } { 6 } \right) ^ { 3 } + \left( \frac { 1 } { 6 } \right) ^ { 4 } + \left( \frac { 1 } { 6 } \right) ^ { 5 } + \ldots$

• A) converges, \(\frac { 1 } { 5 }\)
• B) diverges
• C) converges, \(\frac { 6 } { 5 }\)
• D) converges, \(\frac { 5 } { 6 }\)

Understand the nature of personality disorders, including their onset.

Recognize the psychodynamic perspective on somatoform disorders.

Recognize the signs and symptoms of dissociative amnesia and dissociative fugue.

Understand la belle indifference in relation to somatoform disorders.

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Definitions:

Domain

In mathematics, the set of all possible input values for which a function is defined.

Rational Function

A function represented by the ratio of two polynomials, where the denominator is not zero.

Rational Expression

A rational expression is a fraction where the numerator and/or the denominator are polynomials.

Simplify

The process of reducing a mathematical expression or equation to its most concise and simple form, removing parenthesis and combining like terms when possible.