Graph the Function Corresponding to the Sequence Defined $\mathrm { n }$

Multiple Choice

Graph the function corresponding to the sequence defined. Use the graph to decide whether the sequence converges or
diverges.
-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 $= 436$ represent the initial number of bacteria present.

A) $a _ { 1 } = 436 ; a _ { n } = \frac { 1 } { 2 } a _ { n - 1 }$ for $n > 1$ .
B) $a _ { n } = 2 a _ { 1 }$ for all values of $n$ .
C) $a _ { 1 } = 436 ; a _ { n } = 2 a _ { n - 1 }$ for $n > 1$ .
D) $a _ { 1 } = 436 ; a _ { n } = 2 a _ { n } + 1$ for $n > 1$ .