Which sequence is modeled by the graph below? coordinate plane showing the points (1, 1) (2, 2) (3, 4) and (4, 8) a. an = 1(2)n − 1 b. an = 2(1)n − 1 c. an = 1 + (2)n − 1 d. an = (2)(n − 1)

The correct option is d.

Explanation:

From the given information it is noticed that the coordinate plane showing the points (1, 1) (2, 2) (3, 4) and (4, 8).

The coordinates are in the form of (x,y), it means the value of xth term of the sequence is y.

The point (1,1) represents that the first term is 1. Similarly from  (2, 2) (3, 4) and (4, 8) points we can say that the second term is 2, third term is 4 and fourth term is 8.

The sequence is 1,2,4,8.

It can be written as,

Since the base is common that is 2 and the power is one less than the position of term. So the sequence is in the form of,

Therefore, the correct option is d.