Suppose That Certain Bacteria Can Double Their Size and Divide $\mathrm { n }$

question 279

Multiple Choice

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 $\mathrm { a } _ { 1 } = 451$ represent the initial number of bacteria present.

• A) \(a _ { n } = 2 a _ { 1 }\) for all values of \(n\).
• B) \(\mathrm { a } _ { 1 } = 451 ; \mathrm { a } _ { \mathrm { n } } = 2 \mathrm { a } _ { \mathrm { n } - 1 }\) for \(\mathrm { n } > 1\).
• C) \(a _ { 1 } = 451 ; a _ { n } = \frac { 1 } { 2 } a _ { n - 1 }\) for \(n > 1\).
• D) \(a _ { 1 } = 451 ; a _ { n } = 2 a _ { n } + 1\) for \(n > 1\).

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Definitions:

Cyclic Structure

An arrangement of atoms in a molecule that forms a ring.

Functional Groups

Particular configurations of atoms situated in molecules that govern the signature chemical reactions of the molecules.

Glucose

An essential energy-providing simple sugar found in living entities and a constituent of a wide variety of carbohydrates.

Hemiacetal

A functional group formed by the reaction of an aldehyde with an alcohol, consisting of a carbon atom bonded to an OH and an OR group.