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 $n 1$

Question

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 $n > 1$

Quizplus · Accepted Answer

Option C correctly describes the recursive sequence for the bacteria's growth, where each value of $n$ represents a 30-minute interval, starting with 490 bacteria, and each subsequent amount is double the previous amount.

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

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