The graph of the sequence would have
(check image)
![The graph of the sequence would have check image class=](https://us-static.z-dn.net/files/d00/ca0048a63386e0b9468d63484e66d11b.png)
Explanation:
The four points on this curve are
(1, 3) , (2, 6), (3, 12) , (4, 24)
The equation of the curve that goes through all the points mentioned is
y = 3*2^(x-1) which is equivalent to y = 1.5*2^x
Both equations are exponential equations.
Sequences of the form
a(n) = a*(r)^(n-1)
are geometric sequences with common ratio r. In this case, r = 2.
Note how the jump from 3 to 6 is "times 2", so is from 6 to 12, and from 12 to 24. We multiply each term by 2 to get the next one.