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

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 $n > 1$ .