Determine If the Sequence Is Geometric $$4 , \frac { 16 } { 5 } , \frac { 64 } { 25 } , \frac { 256 } { 125 } , \ldots$$

question 23

Multiple Choice

Determine if the sequence is geometric. If the sequence is geometric, find the common ratio.
- $$4 , \frac { 16 } { 5 } , \frac { 64 } { 25 } , \frac { 256 } { 125 } , \ldots$$

• A) no
• B) yes, \(\frac { 1 } { 5 }\)
• C) yes, \(\frac { 5 } { 4 }\)
• D) yes, \(\frac { 4 } { 5 }\)

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Definitions:

Experimental Method

is a research methodology where the researcher manipulates one variable and controls/randomizes the rest of the variables to study cause-and-effect relationships.

Cognitive Psychologist

A professional who studies mental processes including how people think, perceive, remember, and learn, often focusing on areas such as problem-solving, decision-making, and memory.

Cognitive Processes

The mental activities involved in acquiring, storing, and manipulating knowledge, such as perception, memory, and thinking.

Between-Subjects Design

A research design in which different groups of participants are exposed to different conditions or treatments.