What is the explicit rule for the sequence 9, 14, 19, 24,

a. an = 24–5(n – 1)
b. an = 9 + 5(n – 1)
c. an = 14 + 5(n – 2)
d. an = 9 + 5(n – 2)

The answer is B.

Step-by-step explanation:

In order to determine the sequence, we have to find the increment between two consecutive terms. So, we subtract two consecutive terms, that it means:

Then, when we find the increment, we have to determine when this increment is activated and also, the base number which is the same number than the first term.

Thus,

14-9=5

19-14=5

24-19=5

That it means, the increment is 5.

The base number is 9 (the first term in the sequence).

The increment is activated from the second term: (n-1)

Finally, for the nth term of the sequence:

so, converting firstly the mixed fractions to improper fractions and then "adding".

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.