Which sequence is modeled by the graph below?
coordinate plane showing the points 2, 9; 3, 3; and 4, 1
a) an = one third(27)n − 1
b) an = 27(one third)n − 1
c) an = 1(−3)n − 1
d) an = 3(one half)n − 1

an=27(one third) - 1

thanks

The correct answer is:

                Option: B

We are given that the graph passes through (2,9) , (3,3) and (4,1)

Now, the function which models the graph is given by:

when n=2 we have:

when n=3 we have:

when n=4 we have:

the first option is the answer.