Question

The table shows the predicted growth of a particular bacterium after various numbers of hours.

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