Use the sequence 4, 9, 14, 19, a. find a function to model the sequence, assuming 4 is the first term. show your work. b. use your model to find the 25th term of the sequence.

a)

b)

tn = 4 + (n -1 )d

t25 = 124

Step-by-step explanation:

Given

a1 = 5

Equation (General)

an = a1 + (n - 1)*d

Solution

Use any 2 consecutive terms to get d.

t4 =19

t3 = 14

d = t4 - t3

d = 19 - 14

d = 5

tn = 4 + (n - 1)*5

Twenty Fifth Term

t25 = 4 + (25 - 1)*5

t25 = 4 + 24 * 5

t25 = 4 + 120

t25 = 124

-2 is the right

the correct answer is b. negative exponential growth.

step-by-step explanation:

you can tell it's an exponential function because it decreases rapidly then levels out and never touches the x-axis.

it is negative because the y-axis decreases as the x-axis increases.

therefore it is a negative exponential growth graph.

hope i !