Question

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

Answer 1

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:

`an = k * n`
Where, k: is the slope of the line.
We have then:

`k = (an2 - an1) / (n2 - n1) k = (42 - 21) / (2 - 1) k = (21) / (1) k = 21`
Substituting we have:

`an = 21 * n`
Answer:
An explicit formula for the sequence of the number of bacterium is:
an = 21 * n
option 1