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 $n 1$.

Question

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 $n > 1$.

Quizplus · Accepted Answer

Option B correctly describes the recursive sequence for the bacteria's growth, where each generation is double the size of the previous one, starting with 451 bacteria.

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

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