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 \(n > 1\)

---

Definitions:

Cognitive-Social Theory

A theoretical perspective that emphasizes the role of cognitive processes in understanding social behavior.

Humanistic Theory

An approach in psychology that emphasizes empathy and stresses the good in human behavior.

Psychodynamic Theory

A theory in psychology which asserts that psychological processes and behaviors stem from the interaction of dynamic unconscious and conscious factors.

Cognitive-Social Theories

Theories in psychology that emphasize the roles of thought and social learning in behavior.