Question

Which sequence is modeled by the graph below? coordinate plane showing the points 1, 1; 2, 2; 3, 4; and 4, 8

Answer 1

The points of the graph are: (1,1), (2,2), (3,4), (4,8).

Then the sequence is:

- for the x-coordinate: 1, 2, 3, 4, 5, 6, 7, ...

- for the y-coordinate: 1, 2, 4, 8, which is: 2^0, 2^1, 2^2, 2^ 3, ... so the next y-coordinates are 16, 32, 64, 128, ...

So, the sequence is: 1, 2, 4, ,8, 16, 32, .... 2^x.