Question

Peggy has been studying a type of bacteria that triples every month. Originally, there were 2 bacterial cells. She wants to know how many there will be after 24 months. Which equation should she use?

Answer 1

a24 = 2(3)^24

Explanation:

Took the test and got it right ;)

Answer 2

Let
`u_n` represent the number of bacteria after n months.


`u_0=2` is the original number of bacteria


`u_1=2*3=6`


`u_2=2*3*3`


`u_3=2*3*3*3`

so it is clear that :


`u_n=2* 3^(n)`

After 24 months, there will be
`u_2_4=2* 3^(24)` many bacteria.


Answer:

the equation:

`u_n=2* 3^(n)`, where u_n is the number of bacteria after n months,


`u_2_4=2* 3^(24)`