Write the First Four Terms of the Geometric Sequence with the Given

question 9

Multiple Choice

Write the first four terms of the geometric sequence with the given first term, a1, and common ratio, r.
- $$a _ { 1 } = - \frac { 2 } { 5 } , r = - 4$$

• A) \(= \frac { 2 } { 5 } , \frac { 8 } { 5 } , - \frac { 32 } { 5 } , \frac { 128 } { 5 } , \ldots\)
• B) \(- \frac { 2 } { 5 } , \frac { 32 } { 25 } , \frac { 32 } { 125 } , \frac { 512 } { 625 } , \ldots\)
• C) \(- \frac { 2 } { 5 } , \frac { 8 } { 5 } , \frac { 32 } { 5 } , \frac { 128 } { 5 } , \ldots\)
• D) \(= \frac { 2 } { 5 } , \frac { 8 } { 25 } , \frac { 16 } { 125 } , \frac { 128 } { 625 } , \ldots\)

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Definitions:

Aggression

Conduct aimed at causing pain or fear in others, manifested through either physical aggression or verbal assaults.

Positive Correlation

A relationship between two variables where an increase in one variable is associated with an increase in the other variable.

Independent Variable

In an experiment, a factor or condition that is deliberately manipulated to determine whether it causes any change in another behavior or condition.

Coefficient of Correlation

A statistical measure that calculates the strength and direction of a linear relationship between two variables, ranging from -1 to 1.