Provide an Appropriate Response $.100100100 \ldots$ To a Fraction by Writing It as the Infinite Series

question 141

Multiple Choice

Provide an appropriate response.
-Convert the decimal $.100100100 \ldots$ to a fraction by writing it as the infinite series $\frac { 100 } { 1000 } + \frac { 100 } { 1000 ^ { 2 } } + \frac { 100 } { 1000 ^ { 3 } } + \ldots$

• A) \(0.099\)
• B) \(\frac { 100 } { 999 }\)
• C) \(0.1011011\)
• D) \(0.101\)

Understand the application and benefits of cognitive therapy in addressing unrealistic expectations and cognitive distortions.

Recognize the effective use of pharmacotherapy in managing symptoms of psychological disorders.

Understand the importance of communication and expression of insecurities in couple therapy.

Explain the concept of biofeedback and its relevance in identifying and managing physiological signs of distress.

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Definitions:

Symmetric

A characteristic of shapes or patterns that are identical on both sides when divided by a central line or axis.

Skewed

A description of data in which the distribution is not symmetrical, but instead has a longer tail on one side of the peak or the other, indicating an asymmetry.

Median

The value separating the higher half from the lower half of a data sample, a population, or a probability distribution.

Test Performance

Evaluation of the effectiveness or efficiency of a test, often measured in terms of accuracy, speed, or comprehensiveness.