Solve the Problem $\mathrm { n }$ Represents a 30 -Minute Interval

question 89

Multiple Choice

Solve the problem.
-Suppose that certain bacteria can double their size and divide every 30 minutes. Write a recursive sequence that describes this growth where each value of $\mathrm { n }$ represents a 30 -minute interval. Let a $1 = 490$ represent the initial number of bacteria present.

• A) \(a _ { n } = 2 a _ { 1 }\) for all values of \(n\).
• B) \(a _ { 1 } = 490 ; \quad a _ { n } = 2 a _ { n } + 1\) for \(n > 1\)
• C) \(\mathrm { a } _ { 1 } = 490 ; \mathrm { a } _ { \mathrm { n } } = 2 \mathrm { a } _ { \mathrm { n } - 1 }\) for \(\mathrm { n } > 1\).
• D) \(a _ { 1 } = 490 ; \quad a _ { n } = \frac { 1 } { 2 } a _ { n - 1 } \quad\) for \(n > 1\)

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Definitions:

Medical Model

A framework for understanding diseases and disorders by focusing on biological factors and excluding psychological, environmental, and social influences.

Demonological Model

A belief system that ascribes physical and psychological phenomena to the actions of supernatural beings or forces, historically used to explain diseases or behaviors.

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Mental disorders characterized by disruptive patterns of thought, behavior, and emotion that cause significant distress or impairment in functioning.

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