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

question 91

Multiple Choice

Write the first four terms of the geometric sequence with the given first term, a1, and common ratio, r.
- $$a _ { 1 } = 7 ; r = \frac { 1 } { 4 }$$

• A) \(\frac { 7 } { 4 } , \frac { 7 } { 16 } , \frac { 7 } { 64 } , \frac { 7 } { 256 } , \ldots\)
• B) \(7 , \frac { 29 } { 4 } , \frac { 15 } { 2 } , \frac { 31 } { 4 } , \ldots\)
• C) \(7 , \frac { 7 } { 4 } , \frac { 7 } { 16 } , \frac { 7 } { 64 } , \ldots\)
• D) \(7,28,112,448 , \ldots\)

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Definitions:

Predetermined Time

A technique in time and motion study where standard times are assigned to basic motions and tasks, used for setting standard times for work activities.

Standard Deviation

A numerical indicator that calculates the spread or variability among a collection of data points.

Standard Time

The time set for the completion of a task, often used as a benchmark in manufacturing and other operations to measure efficiency.

Confidence

Confidence denotes a belief in oneself, one's abilities, or the reliability of something or someone, reflecting trust and assurance.