The table shows the predicted growth of a particular bacterium after various numbers of hours.
Write an explicit formula for the sequence of the number of bacterium.
A) an=24n+1
B) an=24n
C) an=1/24n
D) an=n+24

The table shows the predicted growth of a particular bacterium after various numbers of hours Write an explicit formula for the sequence of the number of bacter class=

Respuesta :

For this case, the first thing we should do is observe that we have a linear equation.
 Therefore, we have a sequence of the form:
 [tex] an = k * n [/tex]
 Where, k: is the slope of the line.
 We have then:
 [tex] k = (an2 - an1) / (n2 - n1) k = (42 - 21) / (2 - 1) k = (21) / (1) k = 21[/tex]
 Substituting we have:
 [tex] an = 21 * n [/tex]
 Answer:
 
An explicit formula for the sequence of the number of bacterium is:
 
an = 21 * n
 
option 1