Use the Formula for the Sum of the First N $\frac { 1 } { 4 } , - \frac { 3 } { 4 } , \frac { 9 } { 4 } , - \frac { 27 } { 4 } , \frac { 81 } { 4 } , \ldots$

question 17

Multiple Choice

Use the Formula for the Sum of the First n Terms of a Geometric Sequence
-Find the sum of the first 14 terms of the geometric sequence: $\frac { 1 } { 4 } , - \frac { 3 } { 4 } , \frac { 9 } { 4 } , - \frac { 27 } { 4 } , \frac { 81 } { 4 } , \ldots$

• A) \(- \frac { 597871 } { 2 }\)
• B) \(- 298936\)
• C)\( - \frac { 1195735 } { 4 }\)
• D) \(- 298937\)

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Definitions:

Negativism

A personality trait or behavior characterized by stubbornness, resistance to suggestions, and a pessimistic outlook, often seen in various psychiatric conditions.

Imitate Behavior

The act of copying or mimicking the actions, mannerisms, or speech of another.

Rapid Mood Swings

Sudden and often unpredictable changes in mood, which can be attributed to various psychological or physiological conditions.

Cognitive Development

The progression of thinking, problem-solving, and learning abilities throughout a person’s life, starting from infancy.